%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:39:36 PM UTC 2026
% Result : Unsatisfiable 3.51s 1.46s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 13 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(X2,X3)
| ~ member(X1,universal_class)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).
fof(f191,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).
fof(f192,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).
fof(f193,negated_conjecture,
x != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).
fof(f207,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != ordered_pair(w,x)
| ~ member(X1,universal_class)
| z = X1 ),
inference(superposition,[],[f173,f191]) ).
fof(f227,plain,
( ~ member(x,universal_class)
| x = z ),
inference(equality_resolution,[],[f207]) ).
fof(f228,plain,
x = z,
inference(forward_subsumption_resolution,[],[f227,f192]) ).
fof(f229,plain,
$false,
inference(forward_subsumption_resolution,[],[f228,f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 % Computer : n005.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Mon Sep 28 00:08:17 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.51/1.46 % (314218)Input is clausal, will run a generic CNF schedule.
% 3.51/1.46 % (314291)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4257983768:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.46 % (314292)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2938264331:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.46 % (314294)lrs+10_1_sil=8000:sp=occurrence:random_seed=235850424:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.46 % (314293)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2776183209:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.46 % (314295)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=442191532:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.46 % (314294)First to succeed.
% 3.51/1.46 % (314294)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-314218"
% 3.51/1.46 % (314297)dis-21_1_sil=8000:lcm=predicate:random_seed=2893553659:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.51/1.46 % (314296)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3200662034:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.46 % (314296)Also succeeded, but the first one will report.
% 3.51/1.46 % (314295)Instruction limit reached!
% 3.51/1.46 % (314295)------------------------------
% 3.51/1.46 % (314295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (314295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (314295)CaDiCaL version: 2.1.3
% 3.51/1.46 % (314295)Termination reason: Instruction limit
% 3.51/1.46 % (314295)Termination phase: Saturation
% 3.51/1.46 % (314295)Time elapsed: 0.066 s
% 3.51/1.46 % (314295)Peak memory usage: 88 MB
% 3.51/1.46 % (314295)Instructions burned: 115 (million)
% 3.51/1.46 % (314297)Instruction limit reached!
% 3.51/1.46 % (314297)------------------------------
% 3.51/1.46 % (314297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (314297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (314297)CaDiCaL version: 2.1.3
% 3.51/1.46 % (314297)Termination reason: Instruction limit
% 3.51/1.46 % (314297)Termination phase: Saturation
% 3.51/1.46 % (314297)Time elapsed: 0.077 s
% 3.51/1.46 % (314297)Peak memory usage: 89 MB
% 3.51/1.46 % (314297)Instructions burned: 118 (million)
% 3.51/1.46 % (314305)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2026501383:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.51/1.46 % (314305)Also succeeded, but the first one will report.
% 3.51/1.46 % (314306)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3306091049:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.51/1.46 % (314294)Refutation found. Thanks to Tanya!
% 3.51/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.46 % (314294)------------------------------
% 3.51/1.46 % (314294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (314294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (314294)CaDiCaL version: 2.1.3
% 3.51/1.46 % (314294)Termination reason: Refutation
% 3.51/1.46 % (314294)Time elapsed: 0.003 s
% 3.51/1.46 % (314294)Peak memory usage: 88 MB
% 3.51/1.46 % (314294)Instructions burned: 1 (million)
% 3.51/1.46 % (314294)------------------------------
% 3.51/1.46 % (314294)------------------------------
% 3.51/1.46 % (314218)Success in time 0.41 s
% 3.51/1.46 % Vampire exiting
%------------------------------------------------------------------------------