%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET019-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:42:39 PM UTC 2026
% Result : Unsatisfiable 2.86s 0.97s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 28 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X0)
| member(f1(X0,X1),X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',extensionality3) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).
fof(f166,axiom,
subset(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_contains_b) ).
fof(f167,axiom,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_contains_a) ).
fof(f168,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove__a_equals_b) ).
fof(f169,plain,
b != a,
inference(reorient_equations,[],[f168]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,a) ),
inference(resolution,[],[f79,f166]) ).
fof(f215,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[],[f79,f167]) ).
fof(f4988,plain,
! [X0] :
( member(f1(b,X0),X0)
| member(f1(b,X0),a)
| b = X0 ),
inference(resolution,[],[f3,f214]) ).
fof(f20579,plain,
( member(f1(b,a),a)
| b = a ),
inference(factoring,[],[f4988]) ).
fof(f20583,plain,
member(f1(b,a),a),
inference(forward_subsumption_resolution,[],[f20579,f169]) ).
fof(f20634,plain,
( ~ member(f1(b,a),b)
| b = a ),
inference(resolution,[],[f20583,f4]) ).
fof(f20636,plain,
member(f1(b,a),b),
inference(resolution,[],[f20583,f215]) ).
fof(f20656,plain,
~ member(f1(b,a),b),
inference(forward_subsumption_resolution,[],[f20634,f169]) ).
fof(f20822,plain,
$false,
inference(forward_subsumption_resolution,[],[f20656,f20636]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET019-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:09:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.86/0.97 % (1747242)Will run a generic schedule for satisfiability detection.
% 2.86/0.97 % (1747251)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3165790124:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.86/0.97 % (1747248)% WARNING: option uhcvi not known.
% 2.86/0.97 % (1747248)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2484029723:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.86/0.97 % (1747247)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2845266013_2999 on theBenchmark for (2999ds/0Mi)
% 2.86/0.97 % (1747252)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3914859300:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.86/0.97 % (1747249)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=350887767:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.86/0.97 % (1747250)dis+10_1_sil=32000:sp=arity:random_seed=3048535713:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.86/0.97 % (1747253)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=190103420:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.86/0.97 % TRYING [1]
% 2.86/0.97 % TRYING [2]
% 2.86/0.97 % (1747251)Instruction limit reached!
% 2.86/0.97 % (1747251)------------------------------
% 2.86/0.97 % (1747251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747251)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747251)Termination reason: Instruction limit
% 2.86/0.97 % (1747251)Termination phase: Saturation
% 2.86/0.97 % (1747251)Time elapsed: 0.038 s
% 2.86/0.97 % (1747251)Peak memory usage: 13 MB
% 2.86/0.97 % (1747251)Instructions burned: 118 (million)
% 2.86/0.97 % TRYING [3]
% 2.86/0.97 % (1747261)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2863938094:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.86/0.97 % TRYING [1]
% 2.86/0.97 % TRYING [2]
% 2.86/0.97 % (1747250)Instruction limit reached!
% 2.86/0.97 % (1747250)------------------------------
% 2.86/0.97 % (1747250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747250)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747250)Termination reason: Instruction limit
% 2.86/0.97 % (1747250)Termination phase: Saturation
% 2.86/0.97 % (1747250)Time elapsed: 0.064 s
% 2.86/0.97 % (1747250)Peak memory usage: 12 MB
% 2.86/0.97 % (1747250)Instructions burned: 104 (million)
% 2.86/0.97 % TRYING [3]
% 2.86/0.97 % (1747252)Instruction limit reached!
% 2.86/0.97 % (1747252)------------------------------
% 2.86/0.97 % (1747252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747252)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747252)Termination reason: Instruction limit
% 2.86/0.97 % (1747252)Termination phase: Saturation
% 2.86/0.97 % (1747252)Time elapsed: 0.073 s
% 2.86/0.97 % (1747252)Peak memory usage: 13 MB
% 2.86/0.97 % (1747252)Instructions burned: 132 (million)
% 2.86/0.97 % (1747263)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1511706712:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.86/0.97 % (1747264)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3469771890:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.86/0.97 % (1747253)Instruction limit reached!
% 2.86/0.97 % (1747253)------------------------------
% 2.86/0.97 % (1747253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747253)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747253)Termination reason: Instruction limit
% 2.86/0.97 % (1747253)Termination phase: Saturation
% 2.86/0.97 % (1747253)Time elapsed: 0.103 s
% 2.86/0.97 % (1747253)Peak memory usage: 15 MB
% 2.86/0.97 % (1747253)Instructions burned: 160 (million)
% 2.86/0.97 % (1747267)ott-21_1_sil=16000:fs=off:random_seed=2048068509:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.86/0.97 % (1747263)Instruction limit reached!
% 2.86/0.97 % (1747263)------------------------------
% 2.86/0.97 % (1747263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747263)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747263)Termination reason: Instruction limit
% 2.86/0.97 % (1747263)Termination phase: Saturation
% 2.86/0.97 % (1747263)Time elapsed: 0.086 s
% 2.86/0.97 % (1747263)Peak memory usage: 13 MB
% 2.86/0.97 % (1747263)Instructions burned: 131 (million)
% 2.86/0.97 % (1747269)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1943991051:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.86/0.97 % (1747261)Instruction limit reached!
% 2.86/0.97 % (1747261)------------------------------
% 2.86/0.97 % (1747261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747261)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747261)Termination reason: Instruction limit
% 2.86/0.97 % (1747261)Termination phase: Finite model building constraint generation
% 2.86/0.97 % (1747261)Time elapsed: 0.149 s
% 2.86/0.97 % (1747261)Peak memory usage: 39 MB
% 2.86/0.97 % (1747261)Instructions burned: 715 (million)
% 2.86/0.97 % (1747271)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3885577458:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.86/0.97 % TRYING [1]
% 2.86/0.97 % TRYING [2]
% 2.86/0.97 % (1747267)Instruction limit reached!
% 2.86/0.97 % (1747267)------------------------------
% 2.86/0.97 % (1747267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747267)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747267)Termination reason: Instruction limit
% 2.86/0.97 % (1747267)Termination phase: Saturation
% 2.86/0.97 % (1747267)Time elapsed: 0.100 s
% 2.86/0.97 % (1747267)Peak memory usage: 14 MB
% 2.86/0.97 % (1747267)Instructions burned: 180 (million)
% 2.86/0.97 % (1747273)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3064795185:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.86/0.97 % TRYING [3]
% 2.86/0.97 % TRYING [4]
% 2.86/0.97 % (1747271)Instruction limit reached!
% 2.86/0.97 % (1747271)------------------------------
% 2.86/0.97 % (1747271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747271)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747271)Termination reason: Instruction limit
% 2.86/0.97 % (1747271)Termination phase: Finite model building SAT solving
% 2.86/0.97 % (1747271)Time elapsed: 0.183 s
% 2.86/0.97 % (1747271)Peak memory usage: 40 MB
% 2.86/0.97 % (1747271)Instructions burned: 869 (million)
% 2.86/0.97 % (1747275)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1223944097:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.86/0.97 % (1747275)Cannot represent all propositional literals internally
% 2.86/0.97 % (1747275)Refutation not found, incomplete strategy
% 2.86/0.97 % (1747275)------------------------------
% 2.86/0.97 % (1747275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747275)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747275)Termination reason: Refutation not found, incomplete strategy
% 2.86/0.97 % (1747275)Time elapsed: 0.007 s
% 2.86/0.97 % (1747275)Peak memory usage: 10 MB
% 2.86/0.97 % (1747275)Instructions burned: 28 (million)
% 2.86/0.97 % (1747275)------------------------------
% 2.86/0.97 % (1747275)------------------------------
% 2.86/0.97 % (1747277)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=253514433:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 2.86/0.97 % (1747264) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1747242-1747264"...
% 2.86/0.97 % (1747264)...printing done.
% 2.86/0.97 % (1747264)Refutation found. Thanks to Tanya!
% 2.86/0.97 % SZS status Unsatisfiable for theBenchmark
% 2.86/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.86/0.97 % (1747264)------------------------------
% 2.86/0.97 % (1747264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.97 % (1747264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.97 % (1747264)CaDiCaL version: 2.1.3
% 2.86/0.97 % (1747264)Termination reason: Refutation
% 2.86/0.97 % (1747264)Time elapsed: 0.414 s
% 2.86/0.97 % (1747264)Peak memory usage: 19 MB
% 2.86/0.97 % (1747264)Instructions burned: 643 (million)
% 2.86/0.97 % (1747242)Success in time 0.553 s
% 2.86/0.97 % Vampire exiting
%------------------------------------------------------------------------------