%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET232-6 : 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 : n010.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 12:40:34 PM UTC 2026
% Result : Unsatisfiable 0.15s 1.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 17 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
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(f122,negated_conjecture,
~ subclass(cross_product(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property7_1) ).
fof(f123,negated_conjecture,
~ member(first(not_subclass_element(cross_product(x,y),z)),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property7_2) ).
fof(f217,plain,
! [X2,X0,X1] :
( subclass(cross_product(X0,X1),X2)
| not_subclass_element(cross_product(X0,X1),X2) = ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))) ),
inference(resolution,[],[f17,f2]) ).
fof(f743,plain,
not_subclass_element(cross_product(x,y),z) = ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),
inference(resolution,[],[f217,f122]) ).
fof(f748,plain,
! [X0,X1] :
( ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(x,y),z)),X0) ),
inference(superposition,[],[f14,f743]) ).
fof(f894,plain,
( member(first(not_subclass_element(cross_product(x,y),z)),x)
| subclass(cross_product(x,y),z) ),
inference(resolution,[],[f748,f2]) ).
fof(f898,plain,
subclass(cross_product(x,y),z),
inference(forward_subsumption_resolution,[],[f894,f123]) ).
fof(f899,plain,
$false,
inference(forward_subsumption_resolution,[],[f898,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET232-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 01:12:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.15/1.51 % (1479846)Input is clausal, will run a generic CNF schedule.
% 0.15/1.51 % (1479853)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=109347094:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.15/1.51 % (1479855)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=997316992:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.15/1.51 % (1479857)dis-21_1_sil=8000:lcm=predicate:random_seed=2736253947: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)
% 0.15/1.51 % (1479854)lrs+10_1_sil=8000:sp=occurrence:random_seed=2455349716:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.15/1.51 % (1479851)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=27426326:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.15/1.51 % (1479852)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3334543534:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.15/1.51 % (1479856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3051435730:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.15/1.51 % (1479854)First to succeed.
% 0.15/1.51 % (1479854)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1479846"
% 0.15/1.51 % (1479855)Instruction limit reached!
% 0.15/1.51 % (1479855)------------------------------
% 0.15/1.51 % (1479855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1479855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1479855)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1479855)Termination reason: Instruction limit
% 0.15/1.51 % (1479855)Termination phase: Saturation
% 0.15/1.51 % (1479855)Time elapsed: 0.050 s
% 0.15/1.51 % (1479855)Peak memory usage: 88 MB
% 0.15/1.51 % (1479855)Instructions burned: 116 (million)
% 0.15/1.51 % (1479857)Instruction limit reached!
% 0.15/1.51 % (1479857)------------------------------
% 0.15/1.51 % (1479857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1479857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1479857)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1479857)Termination reason: Instruction limit
% 0.15/1.51 % (1479857)Termination phase: Saturation
% 0.15/1.51 % (1479857)Time elapsed: 0.074 s
% 0.15/1.51 % (1479857)Peak memory usage: 89 MB
% 0.15/1.51 % (1479857)Instructions burned: 118 (million)
% 0.15/1.51 % (1479856)Instruction limit reached!
% 0.15/1.51 % (1479856)------------------------------
% 0.15/1.51 % (1479856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1479856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1479856)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1479856)Termination reason: Instruction limit
% 0.15/1.51 % (1479856)Termination phase: Saturation
% 0.15/1.51 % (1479856)Time elapsed: 0.135 s
% 0.15/1.51 % (1479856)Peak memory usage: 90 MB
% 0.15/1.51 % (1479856)Instructions burned: 181 (million)
% 0.15/1.51 % (1479865)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=945270835:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.15/1.51 % (1479865)Refutation not found, incomplete strategy
% 0.15/1.51 % (1479865)------------------------------
% 0.15/1.51 % (1479865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1479865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1479865)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1479865)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.51 % (1479865)Time elapsed: 0.003 s
% 0.15/1.51 % (1479865)Peak memory usage: 88 MB
% 0.15/1.51 % (1479865)Instructions burned: 3 (million)
% 0.15/1.51 % (1479866)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=835970166: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)
% 0.15/1.51 % (1479866)Also succeeded, but the first one will report.
% 0.15/1.51 % (1479854)Refutation found. Thanks to Tanya!
% 0.15/1.51 % SZS status Unsatisfiable for theBenchmark
% 0.15/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.51 % (1479854)------------------------------
% 0.15/1.51 % (1479854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (1479854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (1479854)CaDiCaL version: 2.1.3
% 0.15/1.51 % (1479854)Termination reason: Refutation
% 0.15/1.51 % (1479854)Time elapsed: 0.028 s
% 0.15/1.51 % (1479854)Peak memory usage: 89 MB
% 0.15/1.51 % (1479854)Instructions burned: 36 (million)
% 0.15/1.51 % (1479854)------------------------------
% 0.15/1.51 % (1479854)------------------------------
% 0.15/1.51 % (1479846)Success in time 0.461 s
% 0.15/1.51 % Vampire exiting
%------------------------------------------------------------------------------