TSTP Solution File: ANA019-2 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : ANA019-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n006.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 19:25:41 EDT 2022
% Result : Unsatisfiable 20.72s 2.99s
% Output : Proof 20.72s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
sPE(v_f(c_0),c_0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0)]) ).
cnf(g1,plain,
c_less(c_0,v_x,t_a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1)]) ).
cnf(g2,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs)]) ).
cnf(g3,plain,
( ~ sPE(v_f(c_0),c_0)
| sPE(c_0,v_f(c_0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ c_less(c_0,v_x,t_a)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(v_x)),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3)]) ).
cnf(g5,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40)]) ).
cnf(g6,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| class_LOrder_Ojoin__semilorder(t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35)]) ).
cnf(g7,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50)]) ).
cnf(g8,plain,
sPE(t_a,t_a),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(v_x,v_x),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
( ~ class_LOrder_Ojoin__semilorder(t_a)
| class_Orderings_Oorder(t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1)]) ).
cnf(g11,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| sPE(c_HOL_Oabs(c_0,t_a),c_0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_1)]) ).
cnf(g12,plain,
sPE(c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a)
| ~ c_lessequals(c_0,v_x,t_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0)]) ).
cnf(g14,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| c_lessequals(c_0,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0)]) ).
cnf(g15,plain,
( ~ sPE(c_HOL_Oabs(c_0,t_a),c_0)
| sPE(c_0,c_HOL_Oabs(c_0,t_a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(c_0,v_f(c_0))
| ~ sPE(v_x,v_x)
| ~ sPE(t_a,t_a)
| ~ c_less(c_0,v_x,t_a)
| c_less(v_f(c_0),v_x,t_a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ c_less(v_f(c_0),v_x,t_a)
| ~ class_Orderings_Oorder(t_a)
| c_lessequals(v_f(c_0),v_x,t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0)]) ).
cnf(g18,plain,
( ~ sPE(v_f(c_0),c_0)
| ~ sPE(v_x,v_x)
| ~ sPE(t_a,t_a)
| ~ c_lessequals(v_f(c_0),v_x,t_a)
| c_lessequals(c_0,v_x,t_a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(c_0,v_f(v_xa(v_x)))
| ~ sPE(t_a,t_a)
| sPE(c_HOL_Oabs(c_0,t_a),c_HOL_Oabs(v_f(v_xa(v_x)),t_a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(v_f(v_xa(v_x)),c_0)
| sPE(c_0,v_f(v_xa(v_x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(c_HOL_Oabs(c_0,t_a),c_HOL_Oabs(v_f(v_xa(v_x)),t_a))
| ~ sPE(c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a))
| ~ sPE(t_a,t_a)
| ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a)
| c_lessequals(c_HOL_Oabs(v_f(v_xa(v_x)),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(c_0,c_HOL_Oabs(c_0,t_a))
| ~ sPE(c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a))
| ~ sPE(t_a,t_a)
| ~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a)
| c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ sPE(v_f(v_xa(v_x)),v_f(c_0))
| ~ sPE(v_f(c_0),c_0)
| sPE(v_f(v_xa(v_x)),c_0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ sPE(v_xa(v_x),c_0)
| sPE(v_f(v_xa(v_x)),v_f(c_0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(c_HOL_Oabs(v_f(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),c_HOL_Oabs(v_f(v_xa(v_x)),t_a))
| ~ sPE(c_times(v_x,c_HOL_Oabs(v_h(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a))
| ~ sPE(t_a,t_a)
| ~ c_lessequals(c_HOL_Oabs(v_f(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),t_a),t_a)
| c_lessequals(c_HOL_Oabs(v_f(v_xa(v_x)),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
c_lessequals(c_HOL_Oabs(v_f(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),t_a),t_a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2)]) ).
cnf(g27,plain,
( ~ sPE(v_xa(v_x),c_Suc(c_minus(v_xa(v_x),c_1,tc_nat)))
| sPE(v_f(v_xa(v_x)),v_f(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ c_less(c_0,v_xa(v_x),tc_nat)
| sPE(v_xa(v_x),c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0)]) ).
cnf(g29,plain,
( ~ sPE(v_xa(v_x),c_Suc(c_minus(v_xa(v_x),c_1,tc_nat)))
| sPE(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat)),v_xa(v_x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(c_HOL_Oabs(v_f(v_xa(v_x)),t_a),c_HOL_Oabs(v_f(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a))
| sPE(c_HOL_Oabs(v_f(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),c_HOL_Oabs(v_f(v_xa(v_x)),t_a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(v_f(v_xa(v_x)),v_f(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))))
| ~ sPE(t_a,t_a)
| sPE(c_HOL_Oabs(v_f(v_xa(v_x)),t_a),c_HOL_Oabs(v_f(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( sPE(v_xa(v_x),c_0)
| c_less(c_0,v_xa(v_x),tc_nat) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0)]) ).
cnf(g33,plain,
( ~ sPE(v_x,v_x)
| ~ sPE(c_HOL_Oabs(v_h(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),c_HOL_Oabs(v_h(v_xa(v_x)),t_a))
| ~ sPE(t_a,t_a)
| sPE(c_times(v_x,c_HOL_Oabs(v_h(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(v_h(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),v_h(v_xa(v_x)))
| ~ sPE(t_a,t_a)
| sPE(c_HOL_Oabs(v_h(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),t_a),c_HOL_Oabs(v_h(v_xa(v_x)),t_a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat)),v_xa(v_x))
| sPE(v_h(c_Suc(c_minus(v_xa(v_x),c_1,tc_nat))),v_h(v_xa(v_x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA019-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 02:55:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 20.72/2.99 % symbols: 21
% 20.72/2.99 % clauses: 32
% 20.72/2.99 % start clauses: 5
% 20.72/2.99 % iterative deepening steps: 5856
% 20.72/2.99 % maximum path limit: 5
% 20.72/2.99 % literal attempts: 6639562
% 20.72/2.99 % depth failures: 4929020
% 20.72/2.99 % regularity failures: 72262
% 20.72/2.99 % tautology failures: 249746
% 20.72/2.99 % reductions: 388018
% 20.72/2.99 % extensions: 6230887
% 20.72/2.99 % SAT variables: 613747
% 20.72/2.99 % SAT clauses: 708984
% 20.72/2.99 % WalkSAT solutions: 708975
% 20.72/2.99 % CDCL solutions: 7
% 20.72/2.99 % SZS status Unsatisfiable for theBenchmark
% 20.72/2.99 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------