%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET108-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:40:09 PM UTC 2026
% Result : Unsatisfiable 2.45s 1.21s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 5 unt; 0 def)
% Number of atoms : 7 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f101,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_1) ).
fof(f102,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_2) ).
fof(f251,plain,
ordered_pair(y,z) = ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),
inference(resolution,[],[f17,f101]) ).
fof(f264,plain,
~ member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
inference(superposition,[],[f102,f251]) ).
fof(f288,plain,
$false,
inference(forward_subsumption_resolution,[],[f264,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET108-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 00:45:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.45/1.21 % (3926398)Input is clausal, will run a generic CNF schedule.
% 2.45/1.21 % (3926408)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1652898363:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.45/1.21 % (3926408)First to succeed.
% 2.45/1.21 % (3926408)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3926398"
% 2.45/1.21 % (3926407)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=129613682:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.45/1.21 % (3926403)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=1222524421:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.45/1.21 % (3926406)lrs+10_1_sil=8000:sp=occurrence:random_seed=2293536351:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.45/1.21 % (3926404)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2176756518:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.45/1.21 % (3926405)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1176310168:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.45/1.21 % (3926407)Also succeeded, but the first one will report.
% 2.45/1.21 % (3926406)Also succeeded, but the first one will report.
% 2.45/1.21 % (3926409)dis-21_1_sil=8000:lcm=predicate:random_seed=3075624450: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)
% 2.45/1.21 % (3926409)Instruction limit reached!
% 2.45/1.21 % (3926409)------------------------------
% 2.45/1.21 % (3926409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.21 % (3926409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.21 % (3926409)CaDiCaL version: 2.1.3
% 2.45/1.21 % (3926409)Termination reason: Instruction limit
% 2.45/1.21 % (3926409)Termination phase: Saturation
% 2.45/1.21 % (3926409)Time elapsed: 0.071 s
% 2.45/1.21 % (3926409)Peak memory usage: 89 MB
% 2.45/1.21 % (3926409)Instructions burned: 118 (million)
% 2.45/1.21 % (3926408)Refutation found. Thanks to Tanya!
% 2.45/1.21 % SZS status Unsatisfiable for theBenchmark
% 2.45/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/1.21 % (3926408)------------------------------
% 2.45/1.21 % (3926408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.21 % (3926408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.21 % (3926408)CaDiCaL version: 2.1.3
% 2.45/1.21 % (3926408)Termination reason: Refutation
% 2.45/1.21 % (3926408)Time elapsed: 0.005 s
% 2.45/1.21 % (3926408)Peak memory usage: 89 MB
% 2.45/1.21 % (3926408)Instructions burned: 11 (million)
% 2.45/1.21 % (3926408)------------------------------
% 2.45/1.21 % (3926408)------------------------------
% 2.45/1.21 % (3926398)Success in time 0.275 s
% 2.45/1.21 % Vampire exiting
%------------------------------------------------------------------------------