TSTP Solution File: TOP003-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : 300s
% DateTime : Wed Aug 31 19:53:20 EDT 2022
% Result : Satisfiable 0.21s 0.54s
% Output : Saturation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u32,negated_conjecture,
( subset_sets(X0,cx)
| ~ element_of_collection(X0,f) ) ).
cnf(u46,negated_conjecture,
( subset_sets(X0,cx)
| ~ basis(X0,f) ) ).
cnf(set_theory_7,axiom,
( subset_sets(X2,union_of_members(X3))
| ~ element_of_collection(X2,X3) ) ).
cnf(u14,axiom,
( subset_sets(X0,X1)
| ~ equal_sets(X0,X1) ) ).
cnf(u16,axiom,
( subset_sets(X1,X0)
| ~ equal_sets(X0,X1) ) ).
cnf(u34,negated_conjecture,
( subset_sets(X2,X3)
| ~ equal_sets(cx,X3)
| ~ element_of_collection(X2,f) ) ).
cnf(u48,negated_conjecture,
( subset_sets(X2,X3)
| ~ equal_sets(cx,X3)
| ~ basis(X2,f) ) ).
cnf(set_theory_9,axiom,
subset_sets(X2,X2) ).
cnf(set_theory_8,axiom,
( ~ subset_sets(X2,X3)
| element_of_set(X0,X3)
| ~ element_of_set(X0,X2) ) ).
cnf(set_theory_10,axiom,
( ~ subset_sets(X4,X2)
| subset_sets(X4,X3)
| ~ equal_sets(X2,X3) ) ).
cnf(set_theory_11,axiom,
( ~ subset_sets(X2,X4)
| ~ equal_sets(X2,X3)
| subset_sets(X3,X4) ) ).
cnf(basis_for_topology_28,axiom,
( equal_sets(union_of_members(X1),X2)
| ~ basis(X2,X1) ) ).
cnf(u41,negated_conjecture,
( ~ equal_sets(cx,X0)
| ~ element_of_collection(X1,f)
| subset_sets(X2,X0)
| ~ equal_sets(X1,X2) ) ).
cnf(u42,negated_conjecture,
( ~ equal_sets(cx,X3)
| ~ element_of_collection(X4,f)
| subset_sets(X4,X5)
| ~ equal_sets(X3,X5) ) ).
cnf(u43,negated_conjecture,
( ~ equal_sets(cx,X6)
| element_of_set(X8,X6)
| ~ element_of_collection(X7,f)
| ~ element_of_set(X8,X7) ) ).
cnf(u52,negated_conjecture,
( ~ equal_sets(cx,X0)
| ~ equal_sets(X1,X2)
| ~ basis(X1,f)
| subset_sets(X2,X0) ) ).
cnf(u53,negated_conjecture,
( ~ equal_sets(cx,X3)
| ~ basis(X4,f)
| ~ equal_sets(X3,X5)
| subset_sets(X4,X5) ) ).
cnf(u54,negated_conjecture,
( ~ equal_sets(cx,X6)
| element_of_set(X8,X6)
| ~ basis(X7,f)
| ~ element_of_set(X8,X7) ) ).
cnf(u28,axiom,
( ~ equal_sets(X0,union_of_members(X2))
| subset_sets(X0,X1)
| ~ basis(X1,X2) ) ).
cnf(u30,axiom,
( ~ equal_sets(X0,union_of_members(X1))
| ~ basis(X2,X1)
| subset_sets(X2,X0) ) ).
cnf(u15,axiom,
( ~ equal_sets(union_of_members(X4),X3)
| ~ element_of_collection(X2,X4)
| subset_sets(X2,X3) ) ).
cnf(u25,axiom,
( ~ equal_sets(union_of_members(X0),X1)
| subset_sets(X2,X1)
| ~ basis(X2,X0) ) ).
cnf(u47,negated_conjecture,
( ~ equal_sets(X0,X1)
| ~ basis(X0,f)
| subset_sets(X1,cx) ) ).
cnf(u33,negated_conjecture,
( ~ equal_sets(X0,X1)
| ~ element_of_collection(X0,f)
| subset_sets(X1,cx) ) ).
cnf(u23,axiom,
( ~ equal_sets(X6,X7)
| ~ element_of_set(X8,X7)
| element_of_set(X8,X6) ) ).
cnf(u21,axiom,
( ~ equal_sets(X1,X2)
| ~ equal_sets(X0,X1)
| subset_sets(X2,X0) ) ).
cnf(u20,axiom,
( ~ equal_sets(X6,X7)
| element_of_set(X8,X7)
| ~ element_of_set(X8,X6) ) ).
cnf(u19,axiom,
( ~ equal_sets(X4,X5)
| subset_sets(X3,X5)
| ~ equal_sets(X3,X4) ) ).
cnf(u18,axiom,
( ~ equal_sets(X0,X2)
| ~ equal_sets(X0,X1)
| subset_sets(X2,X1) ) ).
cnf(u17,axiom,
( ~ equal_sets(X2,X3)
| ~ element_of_collection(X2,X4)
| subset_sets(X3,union_of_members(X4)) ) ).
cnf(lemma_1c_1,negated_conjecture,
basis(cx,f) ).
cnf(u67,negated_conjecture,
( ~ basis(f1(f,X3),X5)
| element_of_collection(union_of_members(X5),top_of_basis(X4))
| ~ element_of_set(X3,union_of_members(f))
| element_of_set(f11(X4,union_of_members(X5)),cx) ) ).
cnf(u68,negated_conjecture,
( ~ basis(f1(f,X6),X8)
| ~ element_of_set(X6,union_of_members(f))
| element_of_set(f11(X7,f1(X8,X9)),cx)
| element_of_collection(f1(X8,X9),top_of_basis(X7))
| ~ element_of_set(X9,union_of_members(X8)) ) ).
cnf(u61,axiom,
( ~ basis(f1(X0,X1),X2)
| element_of_collection(union_of_members(X2),top_of_basis(X3))
| element_of_set(f11(X3,union_of_members(X2)),union_of_members(X0))
| ~ element_of_set(X1,union_of_members(X0)) ) ).
cnf(u63,axiom,
( ~ basis(f1(X3,X4),X0)
| ~ element_of_set(X1,union_of_members(X0))
| ~ element_of_set(X4,union_of_members(X3))
| element_of_collection(f1(X0,X1),top_of_basis(X2))
| element_of_set(f11(X2,f1(X0,X1)),union_of_members(X3)) ) ).
cnf(u50,negated_conjecture,
( ~ basis(union_of_members(X0),f)
| ~ basis(X1,X0)
| subset_sets(X1,cx) ) ).
cnf(u45,axiom,
( ~ basis(union_of_members(X2),X0)
| ~ basis(X1,X2)
| subset_sets(union_of_members(X0),X1) ) ).
cnf(u56,axiom,
( ~ basis(union_of_members(X1),X2)
| ~ basis(X0,X1)
| subset_sets(X0,union_of_members(X2)) ) ).
cnf(u62,axiom,
( ~ basis(union_of_members(X4),X5)
| ~ basis(X7,X4)
| element_of_set(f11(X6,union_of_members(X5)),X7)
| element_of_collection(union_of_members(X5),top_of_basis(X6)) ) ).
cnf(u64,axiom,
( ~ basis(union_of_members(X8),X5)
| ~ element_of_set(X6,union_of_members(X5))
| ~ basis(X9,X8)
| element_of_collection(f1(X5,X6),top_of_basis(X7))
| element_of_set(f11(X7,f1(X5,X6)),X9) ) ).
cnf(u49,negated_conjecture,
( ~ basis(X4,f)
| element_of_set(X5,cx)
| ~ element_of_set(X5,X4) ) ).
cnf(u59,negated_conjecture,
( ~ basis(X1,f)
| ~ element_of_set(X0,cx)
| element_of_set(X0,X1) ) ).
cnf(u26,axiom,
( ~ basis(X2,X1)
| subset_sets(X0,X2)
| ~ element_of_collection(X0,X1) ) ).
cnf(u40,axiom,
( ~ basis(X1,X2)
| subset_sets(X0,X1)
| ~ basis(X0,X2) ) ).
cnf(u31,axiom,
( ~ basis(X1,X2)
| ~ element_of_set(X0,X1)
| element_of_set(X0,union_of_members(X2)) ) ).
cnf(union_of_members_2,axiom,
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ) ).
cnf(u36,negated_conjecture,
( ~ element_of_collection(union_of_members(X0),f)
| subset_sets(X1,cx)
| ~ basis(X1,X0) ) ).
cnf(u27,axiom,
( ~ element_of_collection(union_of_members(X0),X1)
| subset_sets(X2,union_of_members(X1))
| ~ basis(X2,X0) ) ).
cnf(u35,negated_conjecture,
( ~ element_of_collection(X4,f)
| element_of_set(X5,cx)
| ~ element_of_set(X5,X4) ) ).
cnf(u13,axiom,
( ~ element_of_collection(X4,X3)
| element_of_set(X2,union_of_members(X3))
| ~ element_of_set(X2,X4) ) ).
cnf(lemma_1c_2,negated_conjecture,
~ element_of_collection(cx,top_of_basis(f)) ).
cnf(u74,negated_conjecture,
( element_of_set(f11(X6,f1(X7,X8)),cx)
| element_of_collection(f1(X7,X8),top_of_basis(X6))
| ~ element_of_set(X8,union_of_members(X7))
| ~ basis(union_of_members(f),X7) ) ).
cnf(u66,negated_conjecture,
( element_of_set(f11(X2,f1(f,X1)),cx)
| element_of_collection(f1(f,X1),top_of_basis(X2))
| ~ element_of_set(X1,union_of_members(f)) ) ).
cnf(u73,negated_conjecture,
( element_of_set(f11(X4,union_of_members(X5)),cx)
| ~ basis(union_of_members(f),X5)
| element_of_collection(union_of_members(X5),top_of_basis(X4)) ) ).
cnf(u72,negated_conjecture,
( element_of_set(f11(X3,union_of_members(f)),cx)
| element_of_collection(union_of_members(f),top_of_basis(X3)) ) ).
cnf(u38,axiom,
( element_of_set(f11(X4,f1(X3,X2)),union_of_members(X3))
| element_of_collection(f1(X3,X2),top_of_basis(X4))
| ~ element_of_set(X2,union_of_members(X3)) ) ).
cnf(u58,axiom,
( element_of_set(f11(X2,f1(X0,X1)),X3)
| element_of_collection(f1(X0,X1),top_of_basis(X2))
| ~ basis(X3,X0)
| ~ element_of_set(X1,union_of_members(X0)) ) ).
cnf(u51,axiom,
( element_of_set(f11(X0,union_of_members(X1)),X2)
| ~ basis(X2,X1)
| element_of_collection(union_of_members(X1),top_of_basis(X0)) ) ).
cnf(topology_generated_40,axiom,
( element_of_set(f11(X1,X0),X0)
| element_of_collection(X0,top_of_basis(X1)) ) ).
cnf(u57,negated_conjecture,
( element_of_set(X0,union_of_members(f))
| ~ element_of_set(X0,cx) ) ).
cnf(union_of_members_1,axiom,
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ) ).
cnf(u69,negated_conjecture,
( ~ element_of_set(X0,union_of_members(f))
| element_of_set(X0,cx) ) ).
cnf(u29,axiom,
( ~ element_of_set(X0,union_of_members(X2))
| element_of_set(X0,X1)
| ~ basis(X1,X2) ) ).
cnf(u44,negated_conjecture,
( ~ element_of_set(X0,f1(f,X1))
| ~ element_of_set(X1,union_of_members(f))
| element_of_set(X0,cx) ) ).
cnf(u24,axiom,
( ~ element_of_set(X0,f1(X1,X2))
| ~ element_of_set(X2,union_of_members(X1))
| element_of_set(X0,union_of_members(X1)) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : TOP003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:35:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 % (11452)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.47 % (11460)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.51 % (11444)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (11446)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (11458)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (11437)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (11436)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53 % (11437)Refutation not found, incomplete strategy% (11437)------------------------------
% 0.21/0.53 % (11437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11437)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (11437)Memory used [KB]: 5373
% 0.21/0.53 % (11437)Time elapsed: 0.124 s
% 0.21/0.53 % (11437)------------------------------
% 0.21/0.53 % (11437)------------------------------
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (11459)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53 % (11444)Instruction limit reached!
% 0.21/0.53 % (11444)------------------------------
% 0.21/0.53 % (11444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11444)Termination reason: Unknown
% 0.21/0.53 % (11444)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11444)Memory used [KB]: 5373
% 0.21/0.53 % (11444)Time elapsed: 0.109 s
% 0.21/0.53 % (11444)Instructions burned: 2 (million)
% 0.21/0.53 % (11444)------------------------------
% 0.21/0.53 % (11444)------------------------------
% 0.21/0.53 % (11448)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (11438)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 % (11439)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (11441)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53 % (11443)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (11447)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (11446)First to succeed.
% 0.21/0.53 % (11449)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 % (11451)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54 Finite Model Found!
% 0.21/0.54 % SZS status Satisfiable for theBenchmark
% 0.21/0.54 % (11436)Also succeeded, but the first one will report.
% 0.21/0.54 % SZS status Satisfiable for theBenchmark
% 0.21/0.54 % (11446)# SZS output start Saturation.
% See solution above
% 0.21/0.54 % (11446)------------------------------
% 0.21/0.54 % (11446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (11446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (11446)Termination reason: Satisfiable
% 0.21/0.54
% 0.21/0.54 % (11446)Memory used [KB]: 5373
% 0.21/0.54 % (11446)Time elapsed: 0.139 s
% 0.21/0.54 % (11446)Instructions burned: 4 (million)
% 0.21/0.54 % (11446)------------------------------
% 0.21/0.54 % (11446)------------------------------
% 0.21/0.54 % (11435)Success in time 0.182 s
%------------------------------------------------------------------------------