%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET019-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 2.15s 0.84s
% Output : Refutation 2.15s
% 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/sandbox/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/sandbox/benchmark/Axioms/SET003-0.ax',extensionality3) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset1) ).
fof(f162,axiom,
subset(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_contains_b) ).
fof(f163,axiom,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_contains_a) ).
fof(f164,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove__a_equals_b) ).
fof(f165,plain,
b != a,
inference(reorient_equations,[],[f164]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,a) ),
inference(resolution,[],[f79,f162]) ).
fof(f209,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[],[f79,f163]) ).
fof(f11652,plain,
! [X0] :
( member(f1(b,X0),X0)
| member(f1(b,X0),a)
| b = X0 ),
inference(resolution,[],[f3,f208]) ).
fof(f17271,plain,
( member(f1(b,a),a)
| b = a ),
inference(factoring,[],[f11652]) ).
fof(f17278,plain,
member(f1(b,a),a),
inference(forward_subsumption_resolution,[],[f17271,f165]) ).
fof(f17333,plain,
( ~ member(f1(b,a),b)
| b = a ),
inference(resolution,[],[f17278,f4]) ).
fof(f17334,plain,
member(f1(b,a),b),
inference(resolution,[],[f17278,f209]) ).
fof(f17366,plain,
~ member(f1(b,a),b),
inference(forward_subsumption_resolution,[],[f17333,f165]) ).
fof(f17412,plain,
$false,
inference(forward_subsumption_resolution,[],[f17366,f17334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET019-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:14:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.15/0.84 % (4103862)Will run a generic schedule for satisfiability detection.
% 2.15/0.84 % (4103867)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=874507825_2999 on theBenchmark for (2999ds/0Mi)
% 2.15/0.84 % (4103868)% WARNING: option uhcvi not known.
% 2.15/0.84 % (4103868)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3710447745:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.15/0.84 % (4103869)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3474663563:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.15/0.84 % (4103870)dis+10_1_sil=32000:sp=arity:random_seed=2522427123:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.15/0.84 % (4103872)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2600636958:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.15/0.84 % (4103871)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1449699604:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.15/0.84 % (4103873)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3558141510:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.15/0.84 % TRYING [1]
% 2.15/0.84 % TRYING [2]
% 2.15/0.84 % TRYING [3]
% 2.15/0.84 % (4103870)Instruction limit reached!
% 2.15/0.84 % (4103870)------------------------------
% 2.15/0.84 % (4103870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.84 % (4103870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.84 % (4103870)CaDiCaL version: 2.1.3
% 2.15/0.84 % (4103870)Termination reason: Instruction limit
% 2.15/0.84 % (4103870)Termination phase: Saturation
% 2.15/0.84 % (4103870)Time elapsed: 0.065 s
% 2.15/0.84 % (4103870)Peak memory usage: 13 MB
% 2.15/0.84 % (4103870)Instructions burned: 104 (million)
% 2.15/0.84 % (4103871)Instruction limit reached!
% 2.15/0.84 % (4103871)------------------------------
% 2.15/0.84 % (4103871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.84 % (4103871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.84 % (4103871)CaDiCaL version: 2.1.3
% 2.15/0.84 % (4103871)Termination reason: Instruction limit
% 2.15/0.84 % (4103871)Termination phase: Saturation
% 2.15/0.84 % (4103871)Time elapsed: 0.069 s
% 2.15/0.84 % (4103871)Peak memory usage: 13 MB
% 2.15/0.84 % (4103871)Instructions burned: 116 (million)
% 2.15/0.84 % (4103872)Instruction limit reached!
% 2.15/0.84 % (4103872)------------------------------
% 2.15/0.84 % (4103872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.84 % (4103872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.84 % (4103872)CaDiCaL version: 2.1.3
% 2.15/0.84 % (4103872)Termination reason: Instruction limit
% 2.15/0.84 % (4103872)Termination phase: Saturation
% 2.15/0.84 % (4103872)Time elapsed: 0.079 s
% 2.15/0.84 % (4103872)Peak memory usage: 13 MB
% 2.15/0.84 % (4103872)Instructions burned: 137 (million)
% 2.15/0.84 % (4103881)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1256644869:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.15/0.84 % (4103882)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=655427791:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.15/0.84 % (4103883)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=1698837985:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.15/0.84 % TRYING [1]
% 2.15/0.84 % (4103873)Instruction limit reached!
% 2.15/0.84 % (4103873)------------------------------
% 2.15/0.84 % (4103873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.84 % (4103873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.84 % (4103873)CaDiCaL version: 2.1.3
% 2.15/0.84 % TRYING [2]
% 2.15/0.84 % (4103873)Termination reason: Instruction limit
% 2.15/0.84 % (4103873)Termination phase: Saturation
% 2.15/0.84 % (4103873)Time elapsed: 0.102 s
% 2.15/0.84 % (4103873)Peak memory usage: 14 MB
% 2.15/0.84 % (4103873)Instructions burned: 160 (million)
% 2.15/0.84 % TRYING [3]
% 2.15/0.84 % (4103887)ott-21_1_sil=16000:fs=off:random_seed=2505486727:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.15/0.84 % TRYING [4]
% 2.15/0.84 % (4103882)Instruction limit reached!
% 2.15/0.84 % (4103882)------------------------------
% 2.15/0.84 % (4103882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.84 % (4103882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.84 % (4103882)CaDiCaL version: 2.1.3
% 2.15/0.84 % (4103882)Termination reason: Instruction limit
% 2.15/0.84 % (4103882)Termination phase: Saturation
% 2.15/0.84 % (4103882)Time elapsed: 0.085 s
% 2.15/0.84 % (4103882)Peak memory usage: 13 MB
% 2.15/0.84 % (4103882)Instructions burned: 132 (million)
% 2.15/0.84 % (4103889)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1142893269:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.15/0.84 % (4103887)Instruction limit reached!
% 2.15/0.84 % (4103887)------------------------------
% 2.15/0.84 % (4103887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.84 % (4103887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.84 % (4103887)CaDiCaL version: 2.1.3
% 2.15/0.84 % (4103887)Termination reason: Instruction limit
% 2.15/0.84 % (4103887)Termination phase: Saturation
% 2.15/0.84 % (4103887)Time elapsed: 0.100 s
% 2.15/0.84 % (4103887)Peak memory usage: 14 MB
% 2.15/0.84 % (4103887)Instructions burned: 182 (million)
% 2.15/0.84 % (4103891)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=391271394:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.15/0.84 % TRYING [1]
% 2.15/0.84 % TRYING [2]
% 2.15/0.84 % TRYING [3]
% 2.15/0.84 % (4103881)Instruction limit reached!
% 2.15/0.84 % (4103881)------------------------------
% 2.15/0.84 % (4103881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.84 % (4103881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.84 % (4103881)CaDiCaL version: 2.1.3
% 2.15/0.84 % (4103881)Termination reason: Instruction limit
% 2.15/0.84 % (4103881)Termination phase: Finite model building constraint generation
% 2.15/0.84 % (4103881)Time elapsed: 0.252 s
% 2.15/0.84 % (4103881)Peak memory usage: 39 MB
% 2.15/0.84 % (4103881)Instructions burned: 714 (million)
% 2.15/0.84 % (4103893)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3861017273:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.15/0.84 % (4103883) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4103862-4103883"...
% 2.15/0.84 % (4103883)...printing done.
% 2.15/0.84 % (4103883)Refutation found. Thanks to Tanya!
% 2.15/0.84 % SZS status Unsatisfiable for theBenchmark
% 2.15/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.84 % (4103883)------------------------------
% 2.15/0.84 % (4103883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.84 % (4103883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.84 % (4103883)CaDiCaL version: 2.1.3
% 2.15/0.84 % (4103883)Termination reason: Refutation
% 2.15/0.84 % (4103883)Time elapsed: 0.277 s
% 2.15/0.84 % (4103883)Peak memory usage: 18 MB
% 2.15/0.84 % (4103883)Instructions burned: 438 (million)
% 2.15/0.84 % (4103862)Success in time 0.421 s
% 2.15/0.84 % Vampire exiting
%------------------------------------------------------------------------------