TSTP Solution File: TOP001-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP001-2 : 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 : n018.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 19:53:19 EDT 2022
% Result : Unsatisfiable 1.15s 0.65s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 71 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 34 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(subsumption_resolution,[],[f58,f16]) ).
fof(f16,plain,
~ subset_sets(sF1,cx),
inference(definition_folding,[],[f13,f15,f14]) ).
fof(f14,plain,
top_of_basis(f) = sF0,
introduced(function_definition,[]) ).
fof(f15,plain,
sF1 = union_of_members(sF0),
introduced(function_definition,[]) ).
fof(f13,axiom,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1a_2) ).
fof(f58,plain,
subset_sets(sF1,cx),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f57,plain,
( subset_sets(sF1,cx)
| subset_sets(sF1,cx) ),
inference(resolution,[],[f54,f11]) ).
fof(f11,axiom,
! [X3,X4] :
( ~ element_of_set(in_1st_set(X3,X4),X4)
| subset_sets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_5) ).
fof(f54,plain,
! [X0] :
( element_of_set(in_1st_set(sF1,X0),cx)
| subset_sets(sF1,X0) ),
inference(resolution,[],[f52,f22]) ).
fof(f22,plain,
! [X0] :
( ~ element_of_set(X0,union_of_members(f))
| element_of_set(X0,cx) ),
inference(resolution,[],[f20,f8]) ).
fof(f8,axiom,
! [X3,X0,X4] :
( ~ subset_sets(X3,X4)
| ~ element_of_set(X0,X3)
| element_of_set(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_2) ).
fof(f20,plain,
subset_sets(union_of_members(f),cx),
inference(resolution,[],[f17,f9]) ).
fof(f9,axiom,
! [X3,X4] :
( ~ equal_sets(X3,X4)
| subset_sets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_3) ).
fof(f17,plain,
equal_sets(union_of_members(f),cx),
inference(resolution,[],[f4,f12]) ).
fof(f12,axiom,
basis(cx,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1a_1) ).
fof(f4,axiom,
! [X3,X1] :
( ~ basis(X3,X1)
| equal_sets(union_of_members(X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basis_for_topology_28) ).
fof(f52,plain,
! [X2] :
( element_of_set(in_1st_set(sF1,X2),union_of_members(f))
| subset_sets(sF1,X2) ),
inference(subsumption_resolution,[],[f51,f10]) ).
fof(f10,axiom,
! [X3,X4] :
( element_of_set(in_1st_set(X3,X4),X3)
| subset_sets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_4) ).
fof(f51,plain,
! [X2] :
( subset_sets(sF1,X2)
| element_of_set(in_1st_set(sF1,X2),union_of_members(f))
| ~ element_of_set(in_1st_set(sF1,X2),sF1) ),
inference(forward_demodulation,[],[f50,f15]) ).
fof(f50,plain,
! [X2] :
( ~ element_of_set(in_1st_set(sF1,X2),union_of_members(sF0))
| subset_sets(sF1,X2)
| element_of_set(in_1st_set(sF1,X2),union_of_members(f)) ),
inference(resolution,[],[f48,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_1) ).
fof(f48,plain,
! [X0,X1] :
( ~ element_of_set(X0,f1(sF0,in_1st_set(sF1,X1)))
| subset_sets(sF1,X1)
| element_of_set(X0,union_of_members(f)) ),
inference(resolution,[],[f47,f10]) ).
fof(f47,plain,
! [X0,X1] :
( ~ element_of_set(X1,sF1)
| element_of_set(X0,union_of_members(f))
| ~ element_of_set(X0,f1(sF0,X1)) ),
inference(forward_demodulation,[],[f45,f15]) ).
fof(f45,plain,
! [X0,X1] :
( ~ element_of_set(X1,union_of_members(sF0))
| element_of_set(X0,union_of_members(f))
| ~ element_of_set(X0,f1(sF0,X1)) ),
inference(resolution,[],[f41,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_2) ).
fof(f41,plain,
! [X0,X1] :
( ~ element_of_collection(X0,sF0)
| element_of_set(X1,union_of_members(f))
| ~ element_of_set(X1,X0) ),
inference(superposition,[],[f38,f14]) ).
fof(f38,plain,
! [X6,X4,X5] :
( ~ element_of_collection(X6,top_of_basis(X5))
| element_of_set(X4,union_of_members(X5))
| ~ element_of_set(X4,X6) ),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f37,plain,
! [X6,X4,X5] :
( ~ element_of_set(X4,X6)
| ~ element_of_set(X4,X6)
| element_of_set(X4,union_of_members(X5))
| ~ element_of_collection(X6,top_of_basis(X5))
| ~ element_of_collection(X6,top_of_basis(X5)) ),
inference(resolution,[],[f27,f5]) ).
fof(f5,axiom,
! [X3,X0,X1] :
( element_of_set(X3,f10(X1,X0,X3))
| ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_37) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ element_of_set(X3,f10(X1,X0,X2))
| element_of_set(X3,union_of_members(X1))
| ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0) ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X2,X1)
| element_of_set(X0,union_of_members(X1))
| ~ element_of_set(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_3) ).
fof(f6,axiom,
! [X3,X0,X1] :
( element_of_collection(f10(X1,X0,X3),X1)
| ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.26 % Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.27 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.48 % Computer : n018.cluster.edu
% 0.13/0.48 % Model : x86_64 x86_64
% 0.13/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.48 % Memory : 8042.1875MB
% 0.13/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.48 % CPULimit : 300
% 0.13/0.48 % WCLimit : 300
% 0.13/0.48 % DateTime : Mon Aug 29 14:35:39 EDT 2022
% 0.18/0.48 % CPUTime :
% 0.88/0.63 % (28348)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.88/0.63 % (28353)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)
% 0.88/0.64 % (28369)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.88/0.64 TRYING [1]
% 0.88/0.64 TRYING [2]
% 1.15/0.64 % (28369)First to succeed.
% 1.15/0.64 TRYING [3]
% 1.15/0.64 TRYING [4]
% 1.15/0.64 % (28356)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.15/0.64 % (28356)Also succeeded, but the first one will report.
% 1.15/0.64 % (28361)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.15/0.65 % (28352)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.15/0.65 % (28350)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.15/0.65 % (28350)Instruction limit reached!
% 1.15/0.65 % (28350)------------------------------
% 1.15/0.65 % (28350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.15/0.65 % (28350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.15/0.65 % (28350)Termination reason: Unknown
% 1.15/0.65 % (28350)Termination phase: Saturation
% 1.15/0.65
% 1.15/0.65 % (28350)Memory used [KB]: 5373
% 1.15/0.65 % (28350)Time elapsed: 0.117 s
% 1.15/0.65 % (28350)Instructions burned: 2 (million)
% 1.15/0.65 % (28350)------------------------------
% 1.15/0.65 % (28350)------------------------------
% 1.15/0.65 % (28369)Refutation found. Thanks to Tanya!
% 1.15/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.15/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.15/0.65 % (28369)------------------------------
% 1.15/0.65 % (28369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.15/0.65 % (28369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.15/0.65 % (28369)Termination reason: Refutation
% 1.15/0.65
% 1.15/0.65 % (28369)Memory used [KB]: 895
% 1.15/0.65 % (28369)Time elapsed: 0.107 s
% 1.15/0.65 % (28369)Instructions burned: 4 (million)
% 1.15/0.65 % (28369)------------------------------
% 1.15/0.65 % (28369)------------------------------
% 1.15/0.65 % (28341)Success in time 0.162 s
%------------------------------------------------------------------------------