TSTP Solution File: ALG012-1 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : ALG012-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:58:18 EDT 2022
% Result : Unsatisfiable 121.95s 15.75s
% Output : Proof 121.95s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( ~ c(sG)
| ~ c(sG)
| d1(f(sG,sG))
| d2(f(sG,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g1,plain,
( ~ d1(sG)
| ~ d1(sG)
| c(f(sG,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g2,plain,
( ~ d2(sG)
| ~ d2(sG)
| c(f(sG,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g3,plain,
( ~ d1(f(sG,sG))
| ~ d1(f(sG,sG))
| c(f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g4,plain,
( ~ d1(f(f(sG,sG),sG))
| ~ d1(f(f(sG,sG),sG))
| c(f(f(f(sG,sG),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g5,plain,
( c(sG)
| d1(sG)
| d2(sG) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g6,plain,
( ~ c(f(sG,sG))
| ~ d1(f(sG,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g7,plain,
( ~ c(f(sG,sG))
| ~ d2(f(sG,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g8,plain,
( ~ c(f(sG,sG))
| ~ c(f(sG,sG))
| d1(f(f(sG,sG),f(sG,sG)))
| d2(f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g9,plain,
d2(a3),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_d2_not_empty)]) ).
cnf(g10,plain,
( ~ d2(a3)
| ~ d2(a3)
| c(f(a3,a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g11,plain,
( ~ d2(f(sG,sG))
| ~ d2(f(sG,sG))
| c(f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g12,plain,
( ~ d2(f(f(sG,sG),sG))
| ~ d2(f(f(sG,sG),sG))
| c(f(f(f(sG,sG),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g13,plain,
( ~ d2(f(f(sG,sG),f(sG,sG)))
| ~ d2(f(f(sG,sG),f(sG,sG)))
| c(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g14,plain,
( ~ d1(a2)
| ~ d1(sG)
| c(f(a2,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g15,plain,
d1(a2),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_d1_not_empty)]) ).
cnf(g16,plain,
( ~ c(f(a2,sG))
| ~ c(sG)
| d1(f(f(a2,sG),sG))
| d2(f(f(a2,sG),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g17,plain,
( ~ c(f(a2,sG))
| ~ d1(f(a2,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g18,plain,
( ~ d1(a2)
| ~ d1(a2)
| c(f(a2,a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g19,plain,
( ~ c(f(a2,a2))
| ~ c(sG)
| d1(f(f(a2,a2),sG))
| d2(f(f(a2,a2),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g20,plain,
( ~ c(f(f(a2,a2),sG))
| ~ d1(f(f(a2,a2),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g21,plain,
( ~ sPE(f(sG,f(sG,sG)),f(f(sG,sG),sG))
| ~ d2(f(sG,f(sG,sG)))
| d2(f(f(sG,sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
sPE(f(sG,f(sG,sG)),f(f(sG,sG),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g23,plain,
( c(f(sG,sG))
| d1(f(sG,sG))
| d2(f(sG,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g24,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(f(f(sG,sG),sG),sG))
| ~ d2(f(f(sG,sG),f(sG,sG)))
| d2(f(f(f(sG,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
sPE(f(f(sG,sG),f(sG,sG)),f(f(f(sG,sG),sG),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g26,plain,
( ~ c(f(f(sG,sG),sG))
| ~ c(f(sG,sG))
| d1(f(f(f(sG,sG),sG),f(sG,sG)))
| d2(f(f(f(sG,sG),sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g27,plain,
sPE(f(f(f(sG,sG),sG),f(sG,sG)),f(f(f(f(sG,sG),sG),sG),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g28,plain,
( ~ d1(a2)
| ~ d1(f(sG,sG))
| c(f(a2,f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g29,plain,
( ~ d1(a2)
| ~ d1(f(f(sG,sG),sG))
| c(f(a2,f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g30,plain,
( ~ sPE(f(sG,f(sG,sG)),f(f(sG,sG),sG))
| ~ d1(f(sG,f(sG,sG)))
| d1(f(f(sG,sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( c(f(sG,f(sG,sG)))
| d1(f(sG,f(sG,sG)))
| d2(f(sG,f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g32,plain,
( ~ d1(f(f(sG,sG),sG))
| ~ d1(f(sG,f(sG,sG)))
| c(f(f(f(sG,sG),sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g33,plain,
( ~ c(sG)
| ~ c(f(f(sG,sG),sG))
| d1(f(sG,f(f(sG,sG),sG)))
| d2(f(sG,f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g34,plain,
sPE(f(sG,f(f(sG,sG),sG)),f(f(sG,f(sG,sG)),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g35,plain,
( ~ d2(f(sG,sG))
| ~ d2(a3)
| c(f(f(sG,sG),a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g36,plain,
( ~ d1(sG)
| ~ d1(f(f(sG,sG),a3))
| c(f(sG,f(f(sG,sG),a3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g37,plain,
( ~ c(sG)
| ~ c(f(sG,f(sG,sG)))
| d1(f(sG,f(sG,f(sG,sG))))
| d2(f(sG,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g38,plain,
( c(f(a2,sG))
| d1(f(a2,sG))
| d2(f(a2,sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g39,plain,
( ~ c(f(f(a2,sG),sG))
| ~ d1(f(f(a2,sG),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g40,plain,
( ~ c(f(f(sG,sG),f(sG,sG)))
| ~ d1(f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g41,plain,
( ~ d2(f(sG,f(sG,sG)))
| ~ d2(f(sG,f(sG,sG)))
| c(f(f(sG,f(sG,sG)),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g42,plain,
( ~ d2(f(f(sG,sG),sG))
| ~ d2(f(sG,f(sG,sG)))
| c(f(f(f(sG,sG),sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g43,plain,
( ~ d1(f(f(sG,sG),f(sG,sG)))
| ~ d1(f(f(sG,sG),f(sG,sG)))
| c(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g44,plain,
( ~ d2(f(sG,f(sG,sG)))
| ~ d2(sG)
| c(f(f(sG,f(sG,sG)),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g45,plain,
( ~ sPE(f(sG,f(sG,sG)),f(f(sG,sG),sG))
| ~ c(f(sG,f(sG,sG)))
| c(f(f(sG,sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g46,plain,
( ~ sPE(f(a2,f(sG,sG)),f(f(a2,sG),sG))
| ~ c(f(a2,f(sG,sG)))
| c(f(f(a2,sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g47,plain,
sPE(f(a2,f(sG,sG)),f(f(a2,sG),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g48,plain,
sPE(f(a2,f(f(sG,sG),sG)),f(f(a2,f(sG,sG)),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g49,plain,
( ~ c(f(sG,sG))
| ~ c(f(a3,a3))
| d1(f(f(sG,sG),f(a3,a3)))
| d2(f(f(sG,sG),f(a3,a3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g50,plain,
( ~ c(f(sG,f(f(sG,sG),sG)))
| ~ c(sG)
| d1(f(f(sG,f(f(sG,sG),sG)),sG))
| d2(f(f(sG,f(f(sG,sG),sG)),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g51,plain,
( c(f(f(sG,sG),f(sG,sG)))
| d1(f(f(sG,sG),f(sG,sG)))
| d2(f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g52,plain,
( ~ d2(sG)
| ~ d2(f(sG,f(f(sG,sG),f(sG,sG))))
| c(f(sG,f(sG,f(f(sG,sG),f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g53,plain,
( ~ d2(sG)
| ~ d2(f(f(sG,sG),f(sG,sG)))
| c(f(sG,f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g54,plain,
( ~ c(f(sG,f(sG,f(sG,sG))))
| ~ d2(f(sG,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g55,plain,
( ~ c(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG))))
| ~ d2(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g56,plain,
( ~ c(f(sG,f(sG,sG)))
| ~ c(f(sG,sG))
| d1(f(f(sG,f(sG,sG)),f(sG,sG)))
| d2(f(f(sG,f(sG,sG)),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g57,plain,
sPE(f(f(sG,f(sG,sG)),f(sG,sG)),f(f(f(sG,f(sG,sG)),sG),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g58,plain,
( ~ c(f(sG,f(f(sG,sG),sG)))
| ~ d2(f(sG,f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g59,plain,
( ~ c(sG)
| ~ c(f(sG,f(sG,f(f(sG,sG),sG))))
| d1(f(sG,f(sG,f(sG,f(f(sG,sG),sG)))))
| d2(f(sG,f(sG,f(sG,f(f(sG,sG),sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g60,plain,
sPE(f(sG,f(sG,f(sG,sG))),f(f(sG,sG),f(sG,sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g61,plain,
( ~ d1(f(sG,f(sG,sG)))
| ~ d1(f(sG,f(sG,sG)))
| c(f(f(sG,f(sG,sG)),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g62,plain,
( ~ c(f(sG,sG))
| ~ c(f(a2,a2))
| d1(f(f(sG,sG),f(a2,a2)))
| d2(f(f(sG,sG),f(a2,a2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g63,plain,
( c(f(f(sG,sG),sG))
| d1(f(f(sG,sG),sG))
| d2(f(f(sG,sG),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g64,plain,
sPE(f(f(f(sG,sG),sG),f(f(sG,sG),sG)),f(f(f(f(sG,sG),sG),f(sG,sG)),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g65,plain,
( ~ d1(f(f(sG,sG),f(sG,sG)))
| ~ d1(a2)
| c(f(f(f(sG,sG),f(sG,sG)),a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g66,plain,
sPE(f(sG,f(sG,a3)),f(f(sG,sG),a3)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g67,plain,
( ~ d2(f(f(sG,sG),sG))
| ~ d2(a3)
| c(f(f(f(sG,sG),sG),a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g68,plain,
( ~ d2(sG)
| ~ d2(f(f(sG,sG),a2))
| c(f(sG,f(f(sG,sG),a2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g69,plain,
( ~ d2(f(sG,sG))
| ~ d2(f(f(sG,sG),sG))
| c(f(f(sG,sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g70,plain,
sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(f(sG,f(sG,sG)),f(sG,sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g71,plain,
( ~ c(f(sG,sG))
| ~ c(f(f(sG,sG),a3))
| d1(f(f(sG,sG),f(f(sG,sG),a3)))
| d2(f(f(sG,sG),f(f(sG,sG),a3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g72,plain,
( ~ sPE(f(f(sG,sG),f(f(sG,sG),a3)),f(f(f(sG,sG),f(sG,sG)),a3))
| ~ d2(f(f(sG,sG),f(f(sG,sG),a3)))
| d2(f(f(f(sG,sG),f(sG,sG)),a3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g73,plain,
sPE(f(f(sG,sG),f(f(sG,sG),a3)),f(f(f(sG,sG),f(sG,sG)),a3)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g74,plain,
( ~ c(f(f(a2,sG),sG))
| ~ d2(f(f(a2,sG),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g75,plain,
( ~ c(f(f(a2,a2),sG))
| ~ d2(f(f(a2,a2),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g76,plain,
( ~ d1(a2)
| ~ d1(f(sG,f(sG,sG)))
| c(f(a2,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g77,plain,
sPE(f(a2,f(sG,f(sG,sG))),f(f(a2,sG),f(sG,sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g78,plain,
( ~ sPE(f(f(sG,sG),f(a3,a3)),f(f(f(sG,sG),a3),a3))
| ~ d2(f(f(sG,sG),f(a3,a3)))
| d2(f(f(f(sG,sG),a3),a3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g79,plain,
sPE(f(f(sG,sG),f(a3,a3)),f(f(f(sG,sG),a3),a3)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g80,plain,
( ~ d1(sG)
| ~ d1(f(f(sG,sG),f(a3,a3)))
| c(f(sG,f(f(sG,sG),f(a3,a3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g81,plain,
( ~ d2(f(f(sG,sG),f(sG,sG)))
| ~ d2(a3)
| c(f(f(f(sG,sG),f(sG,sG)),a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g82,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(sG,sG)),f(f(f(f(sG,sG),sG),sG),sG))
| ~ d1(f(f(f(sG,sG),sG),f(sG,sG)))
| d1(f(f(f(f(sG,sG),sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g83,plain,
( ~ d1(f(f(f(f(sG,sG),sG),sG),sG))
| ~ d1(sG)
| c(f(f(f(f(f(sG,sG),sG),sG),sG),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g84,plain,
( ~ sPE(f(f(sG,sG),f(a2,a2)),f(f(f(sG,sG),a2),a2))
| ~ d1(f(f(sG,sG),f(a2,a2)))
| d1(f(f(f(sG,sG),a2),a2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g85,plain,
sPE(f(f(sG,sG),f(a2,a2)),f(f(f(sG,sG),a2),a2)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g86,plain,
( ~ c(f(a2,f(sG,f(sG,sG))))
| ~ c(f(a2,f(sG,f(sG,sG))))
| d1(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))
| d2(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g87,plain,
( ~ c(f(f(sG,f(sG,sG)),f(sG,sG)))
| ~ d2(f(f(sG,f(sG,sG)),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g88,plain,
( ~ c(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG))))
| ~ d1(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g89,plain,
( ~ c(f(f(sG,sG),f(sG,f(f(sG,sG),a2))))
| ~ d1(f(f(sG,sG),f(sG,f(f(sG,sG),a2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g90,plain,
( ~ c(f(sG,sG))
| ~ c(f(sG,f(f(sG,sG),a2)))
| d1(f(f(sG,sG),f(sG,f(f(sG,sG),a2))))
| d2(f(f(sG,sG),f(sG,f(f(sG,sG),a2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g91,plain,
( ~ sPE(f(f(sG,sG),sG),f(sG,f(sG,sG)))
| ~ d1(f(f(sG,sG),sG))
| d1(f(sG,f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g92,plain,
( ~ sPE(f(sG,f(sG,sG)),f(f(sG,sG),sG))
| sPE(f(f(sG,sG),sG),f(sG,f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g93,plain,
( ~ sPE(f(sG,f(sG,f(sG,sG))),f(f(sG,sG),f(sG,sG)))
| ~ d1(f(sG,f(sG,f(sG,sG))))
| d1(f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g94,plain,
( ~ d1(f(sG,f(sG,f(sG,sG))))
| ~ d1(f(sG,f(sG,f(sG,sG))))
| c(f(f(sG,f(sG,f(sG,sG))),f(sG,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g95,plain,
sPE(f(f(sG,sG),f(sG,f(sG,sG))),f(f(f(sG,sG),sG),f(sG,sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g96,plain,
( ~ c(f(f(sG,f(sG,sG)),f(sG,sG)))
| ~ d1(f(f(sG,f(sG,sG)),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g97,plain,
sPE(sG,sG),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g98,plain,
( ~ sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(f(sG,f(sG,sG)),f(sG,sG)))
| ~ sPE(f(f(sG,f(sG,sG)),f(sG,sG)),f(f(f(sG,f(sG,sG)),sG),sG))
| sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(f(f(sG,f(sG,sG)),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g99,plain,
sPE(f(sG,f(f(sG,sG),f(sG,f(sG,sG)))),f(f(sG,f(sG,sG)),f(sG,f(sG,sG)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g100,plain,
sPE(f(f(sG,f(sG,sG)),f(sG,f(sG,sG))),f(f(f(sG,f(sG,sG)),sG),f(sG,sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g101,plain,
( ~ c(f(f(f(sG,sG),f(sG,sG)),a3))
| ~ d2(f(f(f(sG,sG),f(sG,sG)),a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g102,plain,
( ~ c(f(sG,sG))
| ~ c(f(sG,f(f(sG,sG),sG)))
| d1(f(f(sG,sG),f(sG,f(f(sG,sG),sG))))
| d2(f(f(sG,sG),f(sG,f(f(sG,sG),sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g103,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,f(sG,sG))))
| ~ d2(f(f(sG,sG),f(sG,sG)))
| d2(f(sG,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g104,plain,
( ~ sPE(f(sG,f(sG,f(sG,sG))),f(f(sG,sG),f(sG,sG)))
| sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g105,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,f(sG,sG))))
| ~ sPE(f(sG,f(sG,f(sG,sG))),f(f(sG,sG),f(sG,sG)))
| sPE(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g106,plain,
( ~ sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(f(sG,sG),f(sG,f(sG,sG))))
| ~ sPE(f(f(sG,sG),f(sG,f(sG,sG))),f(f(f(sG,sG),sG),f(sG,sG)))
| sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(f(f(sG,sG),sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g107,plain,
sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(f(sG,sG),f(sG,f(sG,sG)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g108,plain,
sPE(f(sG,f(sG,f(f(sG,sG),f(sG,sG)))),f(f(sG,sG),f(f(sG,sG),f(sG,sG)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g109,plain,
sPE(f(f(f(f(f(sG,sG),sG),sG),sG),f(sG,f(sG,sG))),f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g110,plain,
( ~ sPE(f(f(sG,f(sG,sG)),f(sG,f(sG,sG))),f(f(f(sG,f(sG,sG)),sG),f(sG,sG)))
| ~ c(f(f(sG,f(sG,sG)),f(sG,f(sG,sG))))
| c(f(f(f(sG,f(sG,sG)),sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g111,plain,
( ~ c(f(f(f(sG,f(sG,sG)),sG),f(sG,sG)))
| ~ d1(f(f(f(sG,f(sG,sG)),sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g112,plain,
( ~ c(f(f(f(sG,f(sG,sG)),sG),f(sG,sG)))
| ~ d2(f(f(f(sG,f(sG,sG)),sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g113,plain,
( ~ d1(f(sG,f(sG,f(sG,sG))))
| ~ d1(sG)
| c(f(f(sG,f(sG,f(sG,sG))),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g114,plain,
( ~ sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(f(sG,f(sG,sG)),f(sG,sG)))
| ~ c(f(sG,f(f(sG,sG),f(sG,sG))))
| c(f(f(sG,f(sG,sG)),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g115,plain,
sPE(f(f(f(sG,sG),sG),f(sG,f(sG,sG))),f(f(f(f(sG,sG),sG),sG),f(sG,sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g116,plain,
( ~ c(f(sG,f(f(sG,sG),sG)))
| ~ c(f(sG,f(f(sG,sG),sG)))
| d1(f(f(sG,f(f(sG,sG),sG)),f(sG,f(f(sG,sG),sG))))
| d2(f(f(sG,f(f(sG,sG),sG)),f(sG,f(f(sG,sG),sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g117,plain,
( ~ c(f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG))))
| ~ d2(f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g118,plain,
( ~ c(f(f(f(sG,sG),f(sG,sG)),a2))
| ~ d2(f(f(f(sG,sG),f(sG,sG)),a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g119,plain,
( ~ sPE(f(f(sG,sG),f(f(sG,sG),a2)),f(f(f(sG,sG),f(sG,sG)),a2))
| ~ d2(f(f(sG,sG),f(f(sG,sG),a2)))
| d2(f(f(f(sG,sG),f(sG,sG)),a2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g120,plain,
sPE(f(f(sG,sG),f(f(sG,sG),a2)),f(f(f(sG,sG),f(sG,sG)),a2)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g121,plain,
( ~ sPE(f(f(sG,sG),a3),f(sG,f(sG,a3)))
| ~ c(f(f(sG,sG),a3))
| c(f(sG,f(sG,a3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g122,plain,
( ~ sPE(f(sG,f(sG,a3)),f(f(sG,sG),a3))
| sPE(f(f(sG,sG),a3),f(sG,f(sG,a3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g123,plain,
( c(f(a2,f(sG,f(sG,sG))))
| d1(f(a2,f(sG,f(sG,sG))))
| d2(f(a2,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g124,plain,
( c(f(f(sG,sG),f(sG,f(sG,sG))))
| d1(f(f(sG,sG),f(sG,f(sG,sG))))
| d2(f(f(sG,sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g125,plain,
( ~ sPE(f(sG,f(sG,f(f(sG,sG),f(sG,sG)))),f(f(sG,sG),f(f(sG,sG),f(sG,sG))))
| ~ c(f(sG,f(sG,f(f(sG,sG),f(sG,sG)))))
| c(f(f(sG,sG),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g126,plain,
sPE(f(f(sG,sG),f(sG,a3)),f(f(f(sG,sG),sG),a3)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g127,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,f(sG,sG))))
| ~ d1(f(f(sG,sG),f(sG,sG)))
| d1(f(sG,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g128,plain,
( ~ c(f(f(f(sG,sG),f(sG,sG)),a2))
| ~ d1(f(f(f(sG,sG),f(sG,sG)),a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g129,plain,
( ~ sPE(f(f(sG,sG),f(f(sG,sG),a2)),f(f(f(sG,sG),f(sG,sG)),a2))
| ~ d1(f(f(sG,sG),f(f(sG,sG),a2)))
| d1(f(f(f(sG,sG),f(sG,sG)),a2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g130,plain,
( ~ d2(f(a2,sG))
| ~ d2(f(sG,sG))
| c(f(f(a2,sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g131,plain,
( ~ c(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))
| ~ d1(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g132,plain,
sPE(f(f(sG,sG),f(sG,f(f(sG,sG),sG))),f(f(f(sG,sG),sG),f(f(sG,sG),sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g133,plain,
( ~ c(f(f(sG,sG),f(sG,f(f(sG,sG),sG))))
| ~ d1(f(f(sG,sG),f(sG,f(f(sG,sG),sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g134,plain,
( c(f(f(sG,sG),a3))
| d1(f(f(sG,sG),a3))
| d2(f(f(sG,sG),a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g135,plain,
( c(f(f(sG,sG),a2))
| d1(f(f(sG,sG),a2))
| d2(f(f(sG,sG),a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union)]) ).
cnf(g136,plain,
( ~ c(f(f(sG,f(sG,sG)),sG))
| ~ c(f(sG,sG))
| d1(f(f(f(sG,f(sG,sG)),sG),f(sG,sG)))
| d2(f(f(f(sG,f(sG,sG)),sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g137,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,f(sG,sG))))
| ~ c(f(f(sG,sG),f(sG,sG)))
| c(f(sG,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g138,plain,
sPE(f(sG,f(sG,f(sG,f(f(sG,sG),sG)))),f(f(sG,sG),f(sG,f(f(sG,sG),sG)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g139,plain,
( ~ c(f(sG,sG))
| ~ c(f(f(sG,sG),a2))
| d1(f(f(sG,sG),f(f(sG,sG),a2)))
| d2(f(f(sG,sG),f(f(sG,sG),a2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g140,plain,
sPE(f(sG,f(f(f(sG,sG),sG),sG)),f(f(sG,f(f(sG,sG),sG)),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g141,plain,
( ~ sPE(f(f(sG,f(f(sG,sG),sG)),f(sG,f(f(sG,sG),sG))),f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG)))
| ~ d2(f(f(sG,f(f(sG,sG),sG)),f(sG,f(f(sG,sG),sG))))
| d2(f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g142,plain,
sPE(f(f(sG,f(f(sG,sG),sG)),f(sG,f(f(sG,sG),sG))),f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g143,plain,
( ~ sPE(f(sG,f(sG,f(sG,a3))),f(f(sG,sG),f(sG,a3)))
| ~ sPE(f(f(sG,sG),f(sG,a3)),f(f(f(sG,sG),sG),a3))
| sPE(f(sG,f(sG,f(sG,a3))),f(f(f(sG,sG),sG),a3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g144,plain,
sPE(f(sG,f(sG,f(sG,a3))),f(f(sG,sG),f(sG,a3))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g145,plain,
( ~ sPE(f(sG,f(f(sG,sG),sG)),f(f(sG,f(sG,sG)),sG))
| ~ sPE(f(f(sG,f(sG,sG)),sG),f(f(f(sG,sG),sG),sG))
| sPE(f(sG,f(f(sG,sG),sG)),f(f(f(sG,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g146,plain,
( ~ sPE(f(sG,f(sG,sG)),f(f(sG,sG),sG))
| ~ sPE(sG,sG)
| sPE(f(f(sG,f(sG,sG)),sG),f(f(f(sG,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g147,plain,
( ~ sPE(f(a2,f(f(sG,sG),sG)),f(f(f(a2,sG),sG),sG))
| ~ c(f(a2,f(f(sG,sG),sG)))
| c(f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g148,plain,
( ~ sPE(f(a2,f(f(sG,sG),sG)),f(f(a2,f(sG,sG)),sG))
| ~ sPE(f(f(a2,f(sG,sG)),sG),f(f(f(a2,sG),sG),sG))
| sPE(f(a2,f(f(sG,sG),sG)),f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g149,plain,
( ~ sPE(f(a2,f(sG,sG)),f(f(a2,sG),sG))
| ~ sPE(sG,sG)
| sPE(f(f(a2,f(sG,sG)),sG),f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g150,plain,
( ~ sPE(f(f(f(sG,sG),sG),a3),f(sG,f(sG,f(sG,a3))))
| ~ c(f(f(f(sG,sG),sG),a3))
| c(f(sG,f(sG,f(sG,a3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g151,plain,
( ~ sPE(f(sG,f(sG,f(sG,a3))),f(f(f(sG,sG),sG),a3))
| sPE(f(f(f(sG,sG),sG),a3),f(sG,f(sG,f(sG,a3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g152,plain,
( ~ c(f(sG,sG))
| ~ c(f(f(sG,sG),f(f(sG,sG),f(sG,sG))))
| d1(f(f(sG,sG),f(f(sG,sG),f(f(sG,sG),f(sG,sG)))))
| d2(f(f(sG,sG),f(f(sG,sG),f(f(sG,sG),f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g153,plain,
( ~ sPE(f(a2,f(sG,f(sG,sG))),f(f(a2,sG),f(sG,sG)))
| ~ sPE(f(f(a2,sG),f(sG,sG)),f(f(f(a2,sG),sG),sG))
| sPE(f(a2,f(sG,f(sG,sG))),f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g154,plain,
sPE(f(f(a2,sG),f(sG,sG)),f(f(f(a2,sG),sG),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g155,plain,
( ~ d1(f(f(f(sG,sG),sG),f(sG,sG)))
| ~ d1(a2)
| c(f(f(f(f(sG,sG),sG),f(sG,sG)),a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g156,plain,
( ~ sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),a2),f(f(sG,sG),f(sG,f(f(sG,sG),a2))))
| ~ c(f(f(f(f(sG,sG),sG),f(sG,sG)),a2))
| c(f(f(sG,sG),f(sG,f(f(sG,sG),a2)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g157,plain,
( ~ sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),a2),f(f(f(sG,sG),sG),f(f(sG,sG),a2)))
| ~ sPE(f(f(f(sG,sG),sG),f(f(sG,sG),a2)),f(f(sG,sG),f(sG,f(f(sG,sG),a2))))
| sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),a2),f(f(sG,sG),f(sG,f(f(sG,sG),a2)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g158,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(f(sG,sG),a2)),f(f(f(f(sG,sG),sG),f(sG,sG)),a2))
| sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),a2),f(f(f(sG,sG),sG),f(f(sG,sG),a2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g159,plain,
sPE(f(f(f(sG,sG),sG),f(f(sG,sG),a2)),f(f(f(f(sG,sG),sG),f(sG,sG)),a2)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g160,plain,
( ~ sPE(f(f(sG,sG),f(sG,f(f(sG,sG),a2))),f(f(f(sG,sG),sG),f(f(sG,sG),a2)))
| sPE(f(f(f(sG,sG),sG),f(f(sG,sG),a2)),f(f(sG,sG),f(sG,f(f(sG,sG),a2)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g161,plain,
sPE(f(f(sG,sG),f(sG,f(f(sG,sG),a2))),f(f(f(sG,sG),sG),f(f(sG,sG),a2))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g162,plain,
( ~ c(f(f(sG,sG),f(sG,f(f(sG,sG),a2))))
| ~ d2(f(f(sG,sG),f(sG,f(f(sG,sG),a2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g163,plain,
( ~ d2(f(f(f(sG,sG),sG),f(sG,sG)))
| ~ d2(a3)
| c(f(f(f(f(sG,sG),sG),f(sG,sG)),a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g164,plain,
( ~ sPE(f(f(f(sG,sG),f(sG,sG)),a3),f(sG,f(sG,f(f(sG,sG),a3))))
| ~ c(f(f(f(sG,sG),f(sG,sG)),a3))
| c(f(sG,f(sG,f(f(sG,sG),a3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g165,plain,
( ~ sPE(f(sG,f(sG,f(f(sG,sG),a3))),f(f(f(sG,sG),f(sG,sG)),a3))
| sPE(f(f(f(sG,sG),f(sG,sG)),a3),f(sG,f(sG,f(f(sG,sG),a3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g166,plain,
( ~ sPE(f(sG,f(sG,f(f(sG,sG),a3))),f(f(sG,sG),f(f(sG,sG),a3)))
| ~ sPE(f(f(sG,sG),f(f(sG,sG),a3)),f(f(f(sG,sG),f(sG,sG)),a3))
| sPE(f(sG,f(sG,f(f(sG,sG),a3))),f(f(f(sG,sG),f(sG,sG)),a3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g167,plain,
sPE(f(sG,f(sG,f(f(sG,sG),a3))),f(f(sG,sG),f(f(sG,sG),a3))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g168,plain,
( ~ c(sG)
| ~ c(f(f(sG,sG),f(sG,f(sG,sG))))
| d1(f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))
| d2(f(sG,f(f(sG,sG),f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g169,plain,
( ~ sPE(f(f(sG,sG),f(f(sG,sG),sG)),f(sG,f(sG,f(f(sG,sG),sG))))
| ~ c(f(f(sG,sG),f(f(sG,sG),sG)))
| c(f(sG,f(sG,f(f(sG,sG),sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g170,plain,
( ~ sPE(f(sG,f(sG,f(f(sG,sG),sG))),f(f(sG,sG),f(f(sG,sG),sG)))
| sPE(f(f(sG,sG),f(f(sG,sG),sG)),f(sG,f(sG,f(f(sG,sG),sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g171,plain,
sPE(f(sG,f(sG,f(f(sG,sG),sG))),f(f(sG,sG),f(f(sG,sG),sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g172,plain,
( ~ sPE(f(f(sG,f(sG,f(sG,sG))),f(sG,f(sG,f(sG,sG)))),f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG))))
| ~ c(f(f(sG,f(sG,f(sG,sG))),f(sG,f(sG,f(sG,sG)))))
| c(f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g173,plain,
sPE(f(f(sG,f(sG,f(sG,sG))),f(sG,f(sG,f(sG,sG)))),f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g174,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(f(f(sG,sG),sG),sG))
| sPE(f(f(f(sG,sG),sG),sG),f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g175,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(f(sG,sG),sG)),f(f(sG,sG),f(sG,f(f(sG,sG),sG))))
| ~ c(f(f(f(sG,sG),sG),f(f(sG,sG),sG)))
| c(f(f(sG,sG),f(sG,f(f(sG,sG),sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g176,plain,
( ~ sPE(f(f(sG,sG),f(sG,f(f(sG,sG),sG))),f(f(f(sG,sG),sG),f(f(sG,sG),sG)))
| sPE(f(f(f(sG,sG),sG),f(f(sG,sG),sG)),f(f(sG,sG),f(sG,f(f(sG,sG),sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g177,plain,
sPE(f(f(sG,sG),f(f(sG,sG),f(f(sG,sG),f(sG,sG)))),f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g178,plain,
( ~ c(f(f(sG,sG),f(sG,f(f(sG,sG),sG))))
| ~ d2(f(f(sG,sG),f(sG,f(f(sG,sG),sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g179,plain,
( ~ sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(f(sG,sG),f(sG,f(sG,sG))))
| sPE(f(f(sG,sG),f(sG,f(sG,sG))),f(sG,f(sG,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g180,plain,
( ~ c(f(f(f(a2,sG),sG),sG))
| ~ d1(f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g181,plain,
( ~ c(f(f(a2,sG),sG))
| ~ c(sG)
| d1(f(f(f(a2,sG),sG),sG))
| d2(f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g182,plain,
( ~ c(sG)
| ~ c(f(sG,f(sG,a3)))
| d1(f(sG,f(sG,f(sG,a3))))
| d2(f(sG,f(sG,f(sG,a3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g183,plain,
( ~ c(f(sG,f(sG,f(sG,a3))))
| ~ d2(f(sG,f(sG,f(sG,a3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g184,plain,
( ~ c(f(sG,f(sG,f(sG,a3))))
| ~ d1(f(sG,f(sG,f(sG,a3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g185,plain,
( ~ d1(a2)
| ~ d1(f(a2,sG))
| c(f(a2,f(a2,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g186,plain,
( ~ sPE(f(f(sG,sG),f(f(sG,sG),f(f(sG,sG),f(sG,sG)))),f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG))))
| ~ d2(f(f(sG,sG),f(f(sG,sG),f(f(sG,sG),f(sG,sG)))))
| d2(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g187,plain,
( ~ sPE(f(f(a2,sG),f(sG,sG)),f(f(f(a2,sG),sG),sG))
| ~ c(f(f(a2,sG),f(sG,sG)))
| c(f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g188,plain,
( ~ sPE(f(a2,f(sG,f(sG,sG))),f(f(a2,sG),f(sG,sG)))
| sPE(f(f(a2,sG),f(sG,sG)),f(a2,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g189,plain,
( ~ sPE(f(f(sG,f(sG,sG)),f(sG,f(sG,sG))),f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))
| ~ c(f(f(sG,f(sG,sG)),f(sG,f(sG,sG))))
| c(f(sG,f(f(sG,sG),f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g190,plain,
( ~ sPE(f(sG,f(f(sG,sG),f(sG,f(sG,sG)))),f(f(sG,f(sG,sG)),f(sG,f(sG,sG))))
| sPE(f(f(sG,f(sG,sG)),f(sG,f(sG,sG))),f(sG,f(f(sG,sG),f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g191,plain,
( ~ c(f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))
| ~ d1(f(sG,f(f(sG,sG),f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g192,plain,
( ~ c(f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))
| ~ d2(f(sG,f(f(sG,sG),f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g193,plain,
( ~ c(sG)
| ~ c(f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))
| d1(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))))
| d2(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g194,plain,
( ~ d1(f(f(sG,sG),a2))
| ~ d1(a2)
| c(f(f(f(sG,sG),a2),a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g195,plain,
( ~ sPE(f(f(f(sG,sG),sG),sG),f(f(sG,sG),f(sG,sG)))
| ~ d1(f(f(f(sG,sG),sG),sG))
| d1(f(f(sG,sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g196,plain,
( ~ sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(f(f(sG,sG),sG),f(sG,sG)))
| sPE(f(f(f(sG,sG),sG),f(sG,sG)),f(sG,f(sG,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g197,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(f(sG,sG),sG)),f(sG,f(sG,f(sG,f(f(sG,sG),sG)))))
| ~ c(f(f(f(sG,sG),sG),f(f(sG,sG),sG)))
| c(f(sG,f(sG,f(sG,f(f(sG,sG),sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g198,plain,
( ~ sPE(f(sG,f(sG,f(sG,f(f(sG,sG),sG)))),f(f(f(sG,sG),sG),f(f(sG,sG),sG)))
| sPE(f(f(f(sG,sG),sG),f(f(sG,sG),sG)),f(sG,f(sG,f(sG,f(f(sG,sG),sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g199,plain,
( ~ sPE(f(sG,f(sG,f(sG,f(f(sG,sG),sG)))),f(f(sG,sG),f(sG,f(f(sG,sG),sG))))
| ~ sPE(f(f(sG,sG),f(sG,f(f(sG,sG),sG))),f(f(f(sG,sG),sG),f(f(sG,sG),sG)))
| sPE(f(sG,f(sG,f(sG,f(f(sG,sG),sG)))),f(f(f(sG,sG),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g200,plain,
( ~ c(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))))
| ~ d1(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g201,plain,
( ~ sPE(sG,sG)
| ~ sPE(f(sG,f(sG,sG)),f(f(sG,sG),sG))
| sPE(f(sG,f(sG,f(sG,sG))),f(sG,f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g202,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(sG,f(sG,sG))),f(f(f(f(sG,sG),sG),sG),f(sG,sG)))
| ~ c(f(f(f(sG,sG),sG),f(sG,f(sG,sG))))
| c(f(f(f(f(sG,sG),sG),sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g203,plain,
( ~ d1(f(sG,sG))
| ~ d1(f(f(sG,sG),f(sG,f(sG,sG))))
| c(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g204,plain,
sPE(f(f(f(f(sG,sG),sG),sG),f(f(sG,sG),f(sG,sG))),f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g205,plain,
( ~ sPE(f(f(sG,sG),f(a2,a2)),f(f(f(sG,sG),a2),a2))
| ~ d2(f(f(sG,sG),f(a2,a2)))
| d2(f(f(f(sG,sG),a2),a2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g206,plain,
( ~ c(f(f(f(sG,sG),a2),a2))
| ~ d2(f(f(f(sG,sG),a2),a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g207,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(sG,sG)),f(sG,f(sG,f(sG,f(sG,sG)))))
| ~ d2(f(f(f(sG,sG),sG),f(sG,sG)))
| d2(f(sG,f(sG,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g208,plain,
( ~ c(f(f(sG,f(sG,f(sG,sG))),sG))
| ~ c(f(sG,f(sG,sG)))
| d1(f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG))))
| d2(f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g209,plain,
( ~ sPE(f(f(sG,f(f(sG,sG),sG)),f(sG,f(f(sG,sG),sG))),f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG)))
| ~ d1(f(f(sG,f(f(sG,sG),sG)),f(sG,f(f(sG,sG),sG))))
| d1(f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g210,plain,
( ~ sPE(f(a2,f(a2,sG)),f(f(a2,a2),sG))
| ~ c(f(a2,f(a2,sG)))
| c(f(f(a2,a2),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g211,plain,
sPE(f(a2,f(a2,sG)),f(f(a2,a2),sG)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g212,plain,
( ~ sPE(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG)))),f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG))))
| ~ d2(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG)))))
| d2(f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g213,plain,
sPE(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG)))),f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g214,plain,
( ~ sPE(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))),f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG)))))
| ~ d2(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))))
| d2(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g215,plain,
sPE(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))),f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g216,plain,
( ~ d2(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))
| ~ d2(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))
| c(f(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))),f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g217,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(f(f(sG,sG),sG),sG))
| ~ sPE(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG)))
| sPE(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG))),f(f(f(f(sG,sG),sG),sG),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g218,plain,
( ~ sPE(f(f(sG,sG),f(f(sG,sG),f(f(sG,sG),f(sG,sG)))),f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG))))
| ~ d1(f(f(sG,sG),f(f(sG,sG),f(f(sG,sG),f(sG,sG)))))
| d1(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g219,plain,
( ~ sPE(sG,sG)
| ~ sPE(f(f(sG,sG),f(sG,sG)),f(f(f(sG,sG),sG),sG))
| sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(sG,f(f(f(sG,sG),sG),sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g220,plain,
( ~ sPE(f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG))),f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))))
| ~ c(f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG))))
| c(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g221,plain,
( ~ sPE(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))),f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG))))
| sPE(f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG))),f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG)))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g222,plain,
( ~ sPE(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))),f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG)))))
| ~ sPE(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG)))),f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG))))
| sPE(f(sG,f(sG,f(f(sG,sG),f(sG,f(sG,sG))))),f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g223,plain,
( ~ c(f(f(f(sG,sG),a2),a2))
| ~ d1(f(f(f(sG,sG),a2),a2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g224,plain,
( ~ sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(sG,f(f(f(sG,sG),sG),sG)))
| ~ d1(f(sG,f(f(sG,sG),f(sG,sG))))
| d1(f(sG,f(f(f(sG,sG),sG),sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g225,plain,
( ~ c(f(f(f(f(sG,sG),sG),sG),f(sG,sG)))
| ~ c(f(sG,sG))
| d1(f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG)))
| d2(f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g226,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(f(sG,sG),sG)))
| ~ c(f(f(sG,sG),f(sG,sG)))
| c(f(sG,f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g227,plain,
( ~ sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,f(sG,sG))))
| ~ sPE(f(sG,f(sG,f(sG,sG))),f(sG,f(f(sG,sG),sG)))
| sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g228,plain,
( ~ sPE(f(sG,f(f(sG,sG),sG)),f(f(f(sG,sG),sG),sG))
| ~ d1(f(sG,f(f(sG,sG),sG)))
| d1(f(f(f(sG,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g229,plain,
( ~ d2(f(a2,f(sG,f(sG,sG))))
| ~ d2(f(a2,f(sG,f(sG,sG))))
| c(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g230,plain,
( ~ d1(f(a2,f(sG,f(sG,sG))))
| ~ d1(f(a2,f(sG,f(sG,sG))))
| c(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g231,plain,
( ~ c(f(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))),f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG))))))
| ~ d2(f(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))),f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g232,plain,
( ~ c(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))
| ~ c(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))
| d1(f(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))),f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG))))))
| d2(f(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))),f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g233,plain,
( ~ c(f(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))),f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG))))))
| ~ d1(f(f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))),f(f(a2,f(sG,f(sG,sG))),f(a2,f(sG,f(sG,sG)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g234,plain,
( ~ sPE(f(a2,f(sG,f(sG,sG))),f(f(f(a2,sG),sG),sG))
| ~ c(f(a2,f(sG,f(sG,sG))))
| c(f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g235,plain,
( ~ sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(sG,f(f(sG,sG),f(sG,sG))))
| ~ d2(f(sG,f(sG,f(sG,f(sG,sG)))))
| d2(f(sG,f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g236,plain,
( ~ sPE(sG,sG)
| ~ sPE(f(sG,f(sG,f(sG,sG))),f(f(sG,sG),f(sG,sG)))
| sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(sG,f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g237,plain,
( ~ sPE(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG))),f(f(f(f(sG,sG),sG),sG),f(f(sG,sG),f(sG,sG))))
| ~ c(f(f(f(sG,sG),f(sG,sG)),f(f(sG,sG),f(sG,sG))))
| c(f(f(f(f(sG,sG),sG),sG),f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g238,plain,
( ~ sPE(f(f(f(f(sG,sG),sG),sG),f(f(sG,sG),f(sG,sG))),f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG)))
| ~ c(f(f(f(f(sG,sG),sG),sG),f(f(sG,sG),f(sG,sG))))
| c(f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g239,plain,
( ~ c(f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG)))
| ~ d1(f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g240,plain,
( ~ c(f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG)))
| ~ d2(f(f(f(f(f(sG,sG),sG),sG),f(sG,sG)),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g241,plain,
( ~ d2(f(f(f(sG,sG),sG),sG))
| ~ d2(f(sG,f(sG,f(sG,sG))))
| c(f(f(f(f(sG,sG),sG),sG),f(sG,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g242,plain,
( ~ c(f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG))))
| ~ d1(f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g243,plain,
( ~ c(f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG))))
| ~ d2(f(f(f(sG,f(sG,f(sG,sG))),sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g244,plain,
( ~ c(f(sG,f(sG,f(sG,f(f(sG,sG),sG)))))
| ~ d1(f(sG,f(sG,f(sG,f(f(sG,sG),sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g245,plain,
( ~ c(f(sG,f(sG,f(sG,f(f(sG,sG),sG)))))
| ~ d2(f(sG,f(sG,f(sG,f(f(sG,sG),sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g246,plain,
( ~ d2(f(sG,sG))
| ~ d2(f(f(sG,sG),f(sG,f(sG,sG))))
| c(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g247,plain,
( ~ sPE(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG)))),f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG))))
| ~ c(f(f(sG,sG),f(f(sG,sG),f(sG,f(sG,sG)))))
| c(f(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g248,plain,
( ~ c(f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG)))
| ~ d2(f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g249,plain,
( ~ c(f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG)))
| ~ d1(f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g250,plain,
( ~ c(f(sG,f(sG,sG)))
| ~ c(f(a3,a3))
| d1(f(f(sG,f(sG,sG)),f(a3,a3)))
| d2(f(f(sG,f(sG,sG)),f(a3,a3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g251,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(f(sG,sG),sG)),f(f(f(f(f(sG,sG),sG),sG),sG),sG))
| ~ c(f(f(f(sG,sG),sG),f(f(sG,sG),sG)))
| c(f(f(f(f(f(sG,sG),sG),sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g252,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(f(sG,sG),sG)),f(f(f(f(sG,sG),sG),f(sG,sG)),sG))
| ~ sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),sG),f(f(f(f(f(sG,sG),sG),sG),sG),sG))
| sPE(f(f(f(sG,sG),sG),f(f(sG,sG),sG)),f(f(f(f(f(sG,sG),sG),sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g253,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(sG,sG)),f(f(f(f(sG,sG),sG),sG),sG))
| ~ sPE(sG,sG)
| sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),sG),f(f(f(f(f(sG,sG),sG),sG),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g254,plain,
( ~ sPE(f(f(f(a2,sG),sG),sG),f(a2,f(sG,f(sG,sG))))
| ~ d1(f(f(f(a2,sG),sG),sG))
| d1(f(a2,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g255,plain,
( ~ sPE(f(f(f(a2,sG),sG),sG),f(f(a2,sG),f(sG,sG)))
| ~ sPE(f(f(a2,sG),f(sG,sG)),f(a2,f(sG,f(sG,sG))))
| sPE(f(f(f(a2,sG),sG),sG),f(a2,f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g256,plain,
( ~ sPE(f(f(a2,sG),f(sG,sG)),f(f(f(a2,sG),sG),sG))
| sPE(f(f(f(a2,sG),sG),sG),f(f(a2,sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g257,plain,
( ~ c(f(f(f(a2,sG),sG),sG))
| ~ d2(f(f(f(a2,sG),sG),sG)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g258,plain,
sPE(f(f(f(f(sG,sG),sG),sG),f(sG,f(sG,f(sG,sG)))),f(f(f(f(f(sG,sG),sG),sG),sG),f(sG,f(sG,sG)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g259,plain,
( ~ sPE(f(f(f(f(sG,sG),sG),sG),f(sG,f(sG,f(sG,sG)))),f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG)))
| ~ c(f(f(f(f(sG,sG),sG),sG),f(sG,f(sG,f(sG,sG)))))
| c(f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g260,plain,
( ~ sPE(f(f(f(f(sG,sG),sG),sG),f(sG,f(sG,f(sG,sG)))),f(f(f(f(f(sG,sG),sG),sG),sG),f(sG,f(sG,sG))))
| ~ sPE(f(f(f(f(f(sG,sG),sG),sG),sG),f(sG,f(sG,sG))),f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG)))
| sPE(f(f(f(f(sG,sG),sG),sG),f(sG,f(sG,f(sG,sG)))),f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g261,plain,
( ~ c(f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG)))
| ~ d2(f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g262,plain,
( ~ c(f(f(f(f(f(sG,sG),sG),sG),sG),sG))
| ~ c(f(sG,sG))
| d1(f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG)))
| d2(f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g263,plain,
( ~ c(f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG)))
| ~ d1(f(f(f(f(f(f(sG,sG),sG),sG),sG),sG),f(sG,sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g264,plain,
( ~ sPE(f(sG,f(sG,f(f(sG,sG),a3))),f(f(sG,sG),f(f(sG,sG),a3)))
| ~ c(f(sG,f(sG,f(f(sG,sG),a3))))
| c(f(f(sG,sG),f(f(sG,sG),a3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g265,plain,
( ~ c(f(f(sG,sG),f(f(sG,sG),a3)))
| ~ d1(f(f(sG,sG),f(f(sG,sG),a3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g266,plain,
( ~ sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(f(f(sG,f(sG,sG)),sG),sG))
| sPE(f(f(f(sG,f(sG,sG)),sG),sG),f(sG,f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g267,plain,
( ~ sPE(sG,sG)
| ~ sPE(f(f(sG,sG),f(sG,sG)),f(sG,f(sG,f(sG,sG))))
| sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(sG,f(sG,f(sG,f(sG,sG))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g268,plain,
( ~ sPE(f(f(sG,sG),f(sG,f(sG,sG))),f(sG,f(f(sG,sG),f(sG,sG))))
| ~ d1(f(f(sG,sG),f(sG,f(sG,sG))))
| d1(f(sG,f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g269,plain,
( ~ sPE(f(f(sG,sG),f(sG,f(sG,sG))),f(sG,f(sG,f(sG,f(sG,sG)))))
| ~ sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(sG,f(f(sG,sG),f(sG,sG))))
| sPE(f(f(sG,sG),f(sG,f(sG,sG))),f(sG,f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g270,plain,
( ~ c(f(f(f(sG,sG),a3),a3))
| ~ d2(f(f(f(sG,sG),a3),a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g271,plain,
( ~ sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(f(sG,sG),f(sG,f(sG,sG))))
| ~ d1(f(sG,f(f(sG,sG),f(sG,sG))))
| d1(f(f(sG,sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g272,plain,
( ~ sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(sG,f(sG,f(sG,f(sG,sG)))))
| ~ sPE(f(sG,f(sG,f(sG,f(sG,sG)))),f(f(sG,sG),f(sG,f(sG,sG))))
| sPE(f(sG,f(f(sG,sG),f(sG,sG))),f(f(sG,sG),f(sG,f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g273,plain,
( ~ sPE(f(f(f(sG,f(sG,sG)),sG),sG),f(sG,f(f(sG,sG),f(sG,sG))))
| ~ d1(f(f(f(sG,f(sG,sG)),sG),sG))
| d1(f(sG,f(f(sG,sG),f(sG,sG)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g274,plain,
( ~ sPE(f(f(sG,f(f(sG,sG),sG)),sG),f(f(f(sG,f(sG,sG)),sG),sG))
| ~ d1(f(f(sG,f(f(sG,sG),sG)),sG))
| d1(f(f(f(sG,f(sG,sG)),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g275,plain,
( ~ sPE(f(sG,f(f(sG,sG),sG)),f(f(sG,f(sG,sG)),sG))
| ~ sPE(sG,sG)
| sPE(f(f(sG,f(f(sG,sG),sG)),sG),f(f(f(sG,f(sG,sG)),sG),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g276,plain,
( ~ sPE(f(sG,f(f(f(sG,sG),sG),sG)),f(f(sG,f(f(sG,sG),sG)),sG))
| ~ d1(f(sG,f(f(f(sG,sG),sG),sG)))
| d1(f(f(sG,f(f(sG,sG),sG)),sG)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g277,plain,
( ~ d2(f(f(sG,sG),a3))
| ~ d2(a3)
| c(f(f(f(sG,sG),a3),a3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
cnf(g278,plain,
sPE(f(sG,f(f(sG,sG),f(a3,a3))),f(f(sG,f(sG,sG)),f(a3,a3))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g279,plain,
( ~ sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),a3),f(f(sG,sG),f(sG,f(f(sG,sG),a3))))
| ~ c(f(f(f(f(sG,sG),sG),f(sG,sG)),a3))
| c(f(f(sG,sG),f(sG,f(f(sG,sG),a3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g280,plain,
( ~ sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),a3),f(f(f(sG,sG),sG),f(f(sG,sG),a3)))
| ~ sPE(f(f(f(sG,sG),sG),f(f(sG,sG),a3)),f(f(sG,sG),f(sG,f(f(sG,sG),a3))))
| sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),a3),f(f(sG,sG),f(sG,f(f(sG,sG),a3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g281,plain,
( ~ sPE(f(f(f(sG,sG),sG),f(f(sG,sG),a3)),f(f(f(f(sG,sG),sG),f(sG,sG)),a3))
| sPE(f(f(f(f(sG,sG),sG),f(sG,sG)),a3),f(f(f(sG,sG),sG),f(f(sG,sG),a3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g282,plain,
sPE(f(f(f(sG,sG),sG),f(f(sG,sG),a3)),f(f(f(f(sG,sG),sG),f(sG,sG)),a3)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g283,plain,
( ~ sPE(f(f(sG,sG),f(sG,f(f(sG,sG),a3))),f(f(f(sG,sG),sG),f(f(sG,sG),a3)))
| sPE(f(f(f(sG,sG),sG),f(f(sG,sG),a3)),f(f(sG,sG),f(sG,f(f(sG,sG),a3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g284,plain,
sPE(f(f(sG,sG),f(sG,f(f(sG,sG),a3))),f(f(f(sG,sG),sG),f(f(sG,sG),a3))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative)]) ).
cnf(g285,plain,
( ~ c(f(f(sG,sG),f(sG,f(f(sG,sG),a3))))
| ~ d1(f(f(sG,sG),f(sG,f(f(sG,sG),a3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g286,plain,
( ~ c(f(sG,sG))
| ~ c(f(sG,f(f(sG,sG),a3)))
| d1(f(f(sG,sG),f(sG,f(f(sG,sG),a3))))
| d2(f(f(sG,sG),f(sG,f(f(sG,sG),a3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1)]) ).
cnf(g287,plain,
( ~ c(f(f(sG,sG),f(sG,f(f(sG,sG),a3))))
| ~ d2(f(f(sG,sG),f(sG,f(f(sG,sG),a3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g288,plain,
( ~ sPE(f(sG,f(f(sG,sG),f(a3,a3))),f(f(sG,f(sG,sG)),f(a3,a3)))
| ~ c(f(sG,f(f(sG,sG),f(a3,a3))))
| c(f(f(sG,f(sG,sG)),f(a3,a3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g289,plain,
( ~ c(f(f(sG,f(sG,sG)),f(a3,a3)))
| ~ d2(f(f(sG,f(sG,sG)),f(a3,a3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d2)]) ).
cnf(g290,plain,
( ~ c(f(f(sG,f(sG,sG)),f(a3,a3)))
| ~ d1(f(f(sG,f(sG,sG)),f(a3,a3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive_c_d1)]) ).
cnf(g291,plain,
( ~ d1(f(f(sG,f(f(sG,sG),sG)),sG))
| ~ d1(f(f(sG,sG),sG))
| c(f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2)]) ).
cnf(g292,plain,
( ~ d2(f(f(sG,f(f(sG,sG),sG)),sG))
| ~ d2(f(f(sG,sG),sG))
| c(f(f(f(sG,f(f(sG,sG),sG)),sG),f(f(sG,sG),sG))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_3)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG012-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 23:07:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 121.95/15.75 % symbols: 9
% 121.95/15.75 % clauses: 18
% 121.95/15.75 % start clauses: 3
% 121.95/15.75 % iterative deepening steps: 4183
% 121.95/15.75 % maximum path limit: 5
% 121.95/15.75 % literal attempts: 1393252
% 121.95/15.75 % depth failures: 657583
% 121.95/15.75 % regularity failures: 116420
% 121.95/15.75 % tautology failures: 81049
% 121.95/15.75 % reductions: 157828
% 121.95/15.75 % extensions: 1233375
% 121.95/15.75 % SAT variables: 302391
% 121.95/15.75 % SAT clauses: 366024
% 121.95/15.75 % WalkSAT solutions: 362160
% 121.95/15.75 % CDCL solutions: 3856
% 121.95/15.75 % SZS status Unsatisfiable for theBenchmark
% 121.95/15.75 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------