TSTP Solution File: GEO507+1 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GEO507+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n016.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 : Sat Jul 16 06:12:10 EDT 2022
% Result : Theorem 63.29s 8.28s
% Output : Proof 63.55s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
perp(sK0,sK1,sK2,sK3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14a)]) ).
cnf(g1,plain,
s_col(sK0,sK1,sK2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14a)]) ).
cnf(g2,plain,
s_col(sK0,sK1,sK3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14a)]) ).
cnf(g3,plain,
( ~ perp(sK0,sK1,sK2,sK3)
| perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11b)]) ).
cnf(g4,plain,
( ~ s_col(sK0,sK1,sK2)
| s_col(sK2,sK0,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11b)]) ).
cnf(g5,plain,
( ~ sPE(sK2,sK3)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13a)]) ).
cnf(g6,plain,
( ~ sPE(sK0,sK1)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13a)]) ).
cnf(g7,plain,
( ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| perpAt(sK2,sK3,il(sK0,sK1,sK2,sK3),sK0,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12a)]) ).
cnf(g8,plain,
( ~ sPE(sK0,sK3)
| sPE(sK3,sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
s_col(sK0,sK1,sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12b)]) ).
cnf(g10,plain,
sPE(sK1,sK1),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ s_t(sK0,sK0,sK0)
| sPE(sK0,sK0) ),
inference(ground_cnf,[],[file('Axioms/GEO011+0.ax',aA6)]) ).
cnf(g12,plain,
( ~ s_r(sK0,sK0,sK1)
| s_e(sK0,sK1,sK0,s(sK0,sK1)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1)]) ).
cnf(g13,plain,
s_r(sK1,sK0,sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_5)]) ).
cnf(g14,plain,
sPE(sK2,sK2),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ s_col(sK0,sK1,sK0)
| ~ s_r(sK1,sK0,sK0)
| sPE(sK1,sK0)
| s_r(sK0,sK0,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_3)]) ).
cnf(g16,plain,
( ~ sPE(s(sK0,sK1),sK1)
| sPE(sK1,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_10a)]) ).
cnf(g17,plain,
( ~ s_col(sK0,sK0,sK0)
| s_t(sK0,sK0,sK0)
| s_t(sK0,sK0,sK0)
| s_t(sK0,sK0,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_10)]) ).
cnf(g18,plain,
( ~ s_col(sK0,sK1,sK2)
| ~ s_col(sK2,sK0,sK1)
| ~ perpAt(sK0,sK1,sK0,sK2,sK0)
| s_r(sK2,sK0,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a)]) ).
cnf(g19,plain,
( ~ s_r(sK2,sK0,sK0)
| s_r(sK0,sK0,sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2)]) ).
cnf(g20,plain,
s_col(sK0,sK0,sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12b)]) ).
cnf(g21,plain,
( ~ s_col(sK0,sK2,sK0)
| s_col(sK2,sK0,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11a)]) ).
cnf(g22,plain,
( ~ sPE(sK1,sK0)
| ~ sPE(sK0,sK0)
| ~ sPE(sK0,sK0)
| ~ s_r(sK1,sK0,sK0)
| s_r(sK0,sK0,sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ s_e(sK0,sK0,sK0,s(sK0,sK0))
| ~ s_e(sK1,sK0,sK1,s(sK0,sK0))
| ~ s_col(sK0,sK1,sK2)
| sPE(sK0,sK1)
| s_e(sK2,sK0,sK2,s(sK0,sK0)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_17)]) ).
cnf(g24,plain,
( ~ s_e(sK2,sK0,sK2,s(sK0,sK0))
| s_r(sK2,sK0,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1)]) ).
cnf(g25,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(sK0,sK2)
| ~ sPE(sK0,sK0)
| ~ s_col(sK0,sK0,sK0)
| s_col(sK0,sK2,sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(sK2,sK0)
| sPE(sK0,sK2) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ s_r(sK0,sK0,sK0)
| s_e(sK0,sK0,sK0,s(sK0,sK0)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1)]) ).
cnf(g28,plain,
( ~ s_r(sK1,sK0,sK0)
| s_e(sK1,sK0,sK1,s(sK0,sK0)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1)]) ).
cnf(g29,plain,
( sPE(sK2,sK3)
| s_col(sK2,sK3,sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_17a)]) ).
cnf(g30,plain,
( ~ sPE(sK3,sK2)
| sPE(sK2,sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(sK1,sK0)
| sPE(sK0,sK1) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ s_col(sK2,sK3,sK0)
| ~ s_col(sK0,sK1,sK0)
| ~ perpAt(sK2,sK3,il(sK0,sK1,sK2,sK3),sK0,sK1)
| s_r(sK0,il(sK0,sK1,sK2,sK3),sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a)]) ).
cnf(g33,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(sK1,sK1)
| ~ sPE(il(sK0,sK1,sK2,sK3),sK0)
| ~ sPE(sK2,sK2)
| ~ sPE(sK3,sK0)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| perpAt(sK0,sK1,sK0,sK2,sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ s_t(sK0,sK0,sK0)
| ~ s_r(sK0,il(sK0,sK1,sK2,sK3),sK0)
| ~ s_r(sK0,il(sK0,sK1,sK2,sK3),sK0)
| sPE(il(sK0,sK1,sK2,sK3),sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_6)]) ).
cnf(g35,plain,
sPE(il(sK0,sK1,sK2,sK3),il(sK0,sK1,sK2,sK3)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( sPE(sK0,sK2)
| s_col(sK0,sK2,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_17a)]) ).
cnf(g37,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(sK1,sK1)
| ~ sPE(il(sK0,sK1,sK2,sK3),il(sK0,sK1,sK2,sK3))
| ~ sPE(sK2,sK0)
| ~ sPE(sK3,sK0)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK0,sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ s_r(sK0,il(sK0,sK1,sK2,sK3),sK0)
| ~ s_r(sK0,sK0,il(sK0,sK1,sK2,sK3))
| sPE(il(sK0,sK1,sK2,sK3),sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_7)]) ).
cnf(g39,plain,
( ~ s_r(sK2,sK0,sK1)
| s_e(sK2,sK1,sK2,s(sK0,sK1)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1)]) ).
cnf(g40,plain,
( ~ s_r(sK1,sK0,sK0)
| s_r(sK0,sK0,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2)]) ).
cnf(g41,plain,
( ~ s_col(sK0,sK1,sK2)
| ~ s_col(sK2,sK3,sK2)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| s_r(sK2,il(sK0,sK1,sK2,sK3),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a)]) ).
cnf(g42,plain,
( ~ s_r(sK2,il(sK0,sK1,sK2,sK3),sK2)
| sPE(sK2,il(sK0,sK1,sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_8)]) ).
cnf(g43,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(sK1,sK1)
| ~ sPE(il(sK0,sK1,sK2,sK3),il(sK0,sK1,sK2,sK3))
| ~ sPE(sK2,sK2)
| ~ sPE(sK3,sK0)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ sPE(sK0,sK2)
| ~ sameside(sK0,sK2,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_3a)]) ).
cnf(g45,plain,
( sPE(sK0,sK3)
| sameside(sK0,sK3,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_5)]) ).
cnf(g46,plain,
( ~ sPE(sK0,sK0)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK0,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13a)]) ).
cnf(g47,plain,
( ~ sPE(sK1,s(sK0,sK1))
| sPE(s(sK0,sK1),sK1) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g48,plain,
( ~ s_col(sK0,sK2,sK3)
| s_col(sK2,sK3,sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11a)]) ).
cnf(g49,plain,
( ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK2,sK0,sK0)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK0)
| s_r(sK0,il(sK0,sK1,sK2,sK3),sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a)]) ).
cnf(g50,plain,
( ~ s_col(sK0,sK1,sK3)
| ~ s_col(sK2,sK3,sK2)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| s_r(sK3,il(sK0,sK1,sK2,sK3),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a)]) ).
cnf(g51,plain,
s_t(sK2,sK2,sK3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_3)]) ).
cnf(g52,plain,
( ~ s_t(sK2,sK2,sK3)
| ~ s_r(sK2,il(sK0,sK1,sK2,sK3),sK2)
| ~ s_r(sK3,il(sK0,sK1,sK2,sK3),sK2)
| sPE(il(sK0,sK1,sK2,sK3),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_6)]) ).
cnf(g53,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(il(sK0,sK1,sK2,sK3),sK2)
| ~ sPE(sK0,sK0)
| ~ sameside(sK0,il(sK0,sK1,sK2,sK3),sK0)
| sameside(sK0,sK2,sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g54,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(sK0,sK0)
| ~ sPE(sK2,il(sK0,sK1,sK2,sK3))
| ~ s_r(sK0,sK0,sK2)
| s_r(sK0,sK0,il(sK0,sK1,sK2,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g55,plain,
( ~ s_e(sK2,sK1,sK2,s(sK0,sK1))
| ~ s_e(sK0,sK1,sK0,s(sK0,sK1))
| ~ s_col(sK2,sK0,sK1)
| sPE(sK2,sK0)
| sPE(sK1,s(sK0,sK1)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_18)]) ).
cnf(g56,plain,
( ~ s_col(sK0,sK1,sK3)
| ~ s_col(sK2,sK3,sK3)
| ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| s_r(sK3,il(sK0,sK1,sK2,sK3),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a)]) ).
cnf(g57,plain,
( ~ s_r(sK3,il(sK0,sK1,sK2,sK3),sK3)
| sPE(sK3,il(sK0,sK1,sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_8)]) ).
cnf(g58,plain,
( ~ s_col(sK3,sK2,sK3)
| sPE(sK3,sK2)
| s_col(sK2,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_17b)]) ).
cnf(g59,plain,
( sPE(sK3,sK2)
| s_col(sK3,sK2,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_17a)]) ).
cnf(g60,plain,
( ~ sPE(sK0,sK0)
| ~ sPE(sK3,il(sK0,sK1,sK2,sK3))
| ~ sPE(sK0,sK0)
| ~ sameside(sK0,sK3,sK0)
| sameside(sK0,il(sK0,sK1,sK2,sK3),sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g61,plain,
( ~ sPE(sK3,il(sK0,sK1,sK2,sK3))
| ~ sPE(il(sK0,sK1,sK2,sK3),sK0)
| sPE(sK3,sK0) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g62,plain,
( ~ s_col(sK0,sK1,sK2)
| ~ s_col(sK0,sK1,sK3)
| sPE(sK0,sK1)
| sPE(sK2,sK0)
| s_col(sK0,sK2,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16b)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO507+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 09:45:07 EDT 2022
% 0.12/0.32 % CPUTime :
% 63.29/8.28 % symbols: 39
% 63.29/8.28 % clauses: 245
% 63.29/8.28 % start clauses: 3
% 63.29/8.28 % iterative deepening steps: 1409
% 63.29/8.28 % maximum path limit: 3
% 63.29/8.28 % literal attempts: 5189031
% 63.29/8.28 % depth failures: 4654472
% 63.29/8.28 % regularity failures: 46691
% 63.29/8.28 % tautology failures: 134106
% 63.29/8.28 % reductions: 303679
% 63.29/8.28 % extensions: 4884149
% 63.29/8.28 % SAT variables: 624785
% 63.29/8.28 % SAT clauses: 894845
% 63.29/8.28 % WalkSAT solutions: 894027
% 63.29/8.28 % CDCL solutions: 811
% 63.29/8.28 % SZS status Theorem for theBenchmark
% 63.29/8.28 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------