TSTP Solution File: ALG220+1 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : ALG220+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n029.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 17:58:56 EDT 2022
% Result : Theorem 40.27s 5.39s
% Output : Proof 40.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ v3_struct_0(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g1,plain,
v3_rlvect_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g2,plain,
v4_rlvect_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g3,plain,
v5_rlvect_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g4,plain,
v6_rlvect_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g5,plain,
v4_group_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g6,plain,
v7_group_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g7,plain,
v6_vectsp_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g8,plain,
v7_vectsp_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g9,plain,
v8_vectsp_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g10,plain,
~ v10_vectsp_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g11,plain,
v2_vectsp_2(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g12,plain,
l3_vectsp_1(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g13,plain,
~ v3_struct_0(sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g14,plain,
v3_rlvect_1(sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g15,plain,
v4_rlvect_1(sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g16,plain,
v5_rlvect_1(sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g17,plain,
v6_rlvect_1(sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g18,plain,
v3_vectsp_2(sK1,sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g19,plain,
v5_vectsp_2(sK1,sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g20,plain,
l1_vectsp_2(sK1,sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g21,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g22,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g23,plain,
sPE(k1_rmod_5(sK0,sK1,sK2),sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g24,plain,
r1_tarski(sK2,sK3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g25,plain,
~ sPE(k1_rmod_5(sK0,sK1,sK3),sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_rmod_5)]) ).
cnf(g26,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| v10_vectsp_1(sK0)
| m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5)]) ).
cnf(g27,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| v10_vectsp_1(sK0)
| v3_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5)]) ).
cnf(g28,plain,
( ~ sPE(sK1,k1_rmod_5(sK0,sK1,sK3))
| sPE(k1_rmod_5(sK0,sK1,sK3),sK1) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| v5_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2)]) ).
cnf(g30,plain,
( ~ v3_struct_0(k1_rmod_5(sK0,sK1,sK3))
| ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2)]) ).
cnf(g31,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(k1_rmod_5(sK0,sK1,sK3))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(k1_rmod_5(sK0,sK1,sK3))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(k1_rmod_5(sK0,sK1,sK3))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(k1_rmod_5(sK0,sK1,sK3))
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v3_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0)
| ~ v3_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,sK3))
| sPE(sK1,k1_rmod_5(sK0,sK1,sK3))
| v3_struct_0(sK0)
| v3_struct_0(k1_rmod_5(sK0,sK1,sK3))
| v3_struct_0(sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_rmod_2)]) ).
cnf(g32,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| v4_rlvect_1(k1_rmod_5(sK0,sK1,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2)]) ).
cnf(g33,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| v5_rlvect_1(k1_rmod_5(sK0,sK1,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2)]) ).
cnf(g34,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| l1_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2)]) ).
cnf(g35,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| v6_rlvect_1(k1_rmod_5(sK0,sK1,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2)]) ).
cnf(g36,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| v3_rlvect_1(k1_rmod_5(sK0,sK1,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2)]) ).
cnf(g37,plain,
sPE(sK0,sK0),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK0)
| ~ v6_rlvect_1(sK1)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,sK3)
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| v10_vectsp_1(sK0)
| m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_rmod_5)]) ).
cnf(g39,plain,
sPE(k1_rmod_5(sK0,sK1,sK3),k1_rmod_5(sK0,sK1,sK3)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(k1_rmod_5(sK0,sK1,sK2),sK1)
| ~ sPE(sK0,sK0)
| ~ sPE(k1_rmod_5(sK0,sK1,sK3),k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,k1_rmod_5(sK0,sK1,sK3))
| m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG220+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 22:06:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 40.27/5.39 % symbols: 72
% 40.27/5.39 % clauses: 194
% 40.27/5.39 % start clauses: 26
% 40.27/5.39 % iterative deepening steps: 740
% 40.27/5.39 % maximum path limit: 3
% 40.27/5.39 % literal attempts: 16152763
% 40.27/5.39 % depth failures: 15170894
% 40.27/5.39 % regularity failures: 7315
% 40.27/5.39 % tautology failures: 186913
% 40.27/5.39 % reductions: 24353
% 40.27/5.39 % extensions: 16110734
% 40.27/5.39 % SAT variables: 144817
% 40.27/5.39 % SAT clauses: 124603
% 40.27/5.39 % WalkSAT solutions: 124595
% 40.27/5.39 % CDCL solutions: 7
% 40.27/5.39 % SZS status Theorem for theBenchmark
% 40.27/5.39 % SZS output start ListOfCNF for theBenchmark
% See solution above
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