%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET108-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 3.54s 1.45s
% Output : Refutation 3.54s
% 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/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f174,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_1) ).
fof(f175,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_2) ).
fof(f308,plain,
ordered_pair(y,z) = ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),
inference(resolution,[],[f17,f174]) ).
fof(f316,plain,
~ member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
inference(superposition,[],[f175,f308]) ).
fof(f346,plain,
$false,
inference(forward_subsumption_resolution,[],[f316,f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET108-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:44:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.54/1.45 % (707298)Input is clausal, will run a generic CNF schedule.
% 3.54/1.45 % (707304)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3356911657:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.54/1.45 % (707306)lrs+10_1_sil=8000:sp=occurrence:random_seed=1197733955:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.54/1.45 % (707308)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1853897062:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.54/1.45 % (707309)dis-21_1_sil=8000:lcm=predicate:random_seed=3589000597: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)
% 3.54/1.45 % (707303)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=3505648167:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.54/1.45 % (707305)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=740679118:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.54/1.45 % (707307)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=131229948:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.54/1.45 % (707306)First to succeed.
% 3.54/1.45 % (707306)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-707298"
% 3.54/1.45 % (707308)Also succeeded, but the first one will report.
% 3.54/1.45 % (707307)Instruction limit reached!
% 3.54/1.45 % (707307)------------------------------
% 3.54/1.45 % (707307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.45 % (707307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.45 % (707307)CaDiCaL version: 2.1.3
% 3.54/1.45 % (707307)Termination reason: Instruction limit
% 3.54/1.45 % (707307)Termination phase: Saturation
% 3.54/1.45 % (707307)Time elapsed: 0.064 s
% 3.54/1.45 % (707307)Peak memory usage: 88 MB
% 3.54/1.45 % (707307)Instructions burned: 114 (million)
% 3.54/1.45 % (707309)Instruction limit reached!
% 3.54/1.45 % (707309)------------------------------
% 3.54/1.45 % (707309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.45 % (707309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.45 % (707309)CaDiCaL version: 2.1.3
% 3.54/1.45 % (707309)Termination reason: Instruction limit
% 3.54/1.45 % (707309)Termination phase: Saturation
% 3.54/1.45 % (707309)Time elapsed: 0.066 s
% 3.54/1.45 % (707309)Peak memory usage: 89 MB
% 3.54/1.45 % (707309)Instructions burned: 117 (million)
% 3.54/1.45 % (707317)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=2851351450:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.54/1.45 % (707318)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1633818506: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)
% 3.54/1.45 % (707317)Also succeeded, but the first one will report.
% 3.54/1.45 % (707318)Also succeeded, but the first one will report.
% 3.54/1.45 % (707306)Refutation found. Thanks to Tanya!
% 3.54/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.54/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.45 % (707306)------------------------------
% 3.54/1.45 % (707306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.45 % (707306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.45 % (707306)CaDiCaL version: 2.1.3
% 3.54/1.45 % (707306)Termination reason: Refutation
% 3.54/1.45 % (707306)Time elapsed: 0.006 s
% 3.54/1.45 % (707306)Peak memory usage: 89 MB
% 3.54/1.45 % (707306)Instructions burned: 7 (million)
% 3.54/1.45 % (707306)------------------------------
% 3.54/1.45 % (707306)------------------------------
% 3.54/1.45 % (707298)Success in time 0.422 s
% 3.54/1.45 % Vampire exiting
%------------------------------------------------------------------------------