%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET104-7 : 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 : n002.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 12:40:08 PM UTC 2026
% Result : Unsatisfiable 4.87s 1.57s
% Output : Refutation 4.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 19 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f124,axiom,
! [X0,X1] :
( member(X0,universal_class)
| unordered_pair(X0,X1) = singleton(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_equals_singleton2) ).
fof(f138,axiom,
! [X0] :
( member(X0,universal_class)
| singleton(X0) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).
fof(f166,negated_conjecture,
unordered_pair(null_class,singleton(singleton(y))) != ordered_pair(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_2_of_ordered_pair_2) ).
fof(f167,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_2_of_ordered_pair_3) ).
fof(f168,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f169,plain,
unordered_pair(null_class,unordered_pair(unordered_pair(y,y),unordered_pair(y,y))) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
inference(definition_unfolding,[],[f166,f12,f12,f168]) ).
fof(f176,plain,
! [X0,X1] :
( member(X0,universal_class)
| unordered_pair(X0,X1) = unordered_pair(X1,X1) ),
inference(definition_unfolding,[],[f124,f12]) ).
fof(f195,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(definition_unfolding,[],[f138,f12]) ).
fof(f221,plain,
null_class = unordered_pair(x,x),
inference(resolution,[],[f195,f167]) ).
fof(f222,plain,
unordered_pair(null_class,unordered_pair(unordered_pair(y,y),unordered_pair(y,y))) != unordered_pair(null_class,unordered_pair(x,unordered_pair(y,y))),
inference(superposition,[],[f169,f221]) ).
fof(f277,plain,
! [X0] : unordered_pair(X0,X0) = unordered_pair(x,X0),
inference(resolution,[],[f176,f167]) ).
fof(f303,plain,
unordered_pair(null_class,unordered_pair(x,unordered_pair(y,y))) != unordered_pair(null_class,unordered_pair(x,unordered_pair(y,y))),
inference(superposition,[],[f222,f277]) ).
fof(f314,plain,
$false,
inference(trivial_inequality_removal,[],[f303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET104-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 % Computer : n002.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 00:46:52 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 4.87/1.57 % (4056784)Input is clausal, will run a generic CNF schedule.
% 4.87/1.57 % (4056805)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3207809158:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.87/1.57 % (4056806)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=130886893:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.87/1.57 % (4056807)lrs+10_1_sil=8000:sp=occurrence:random_seed=2409185767:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.87/1.57 % (4056804)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=2680167455:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.87/1.57 % (4056807)First to succeed.
% 4.87/1.57 % (4056808)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3302380084:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.87/1.57 % (4056807)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4056784"
% 4.87/1.57 % (4056809)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3335184463:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.87/1.57 % (4056810)dis-21_1_sil=8000:lcm=predicate:random_seed=2106687490: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)
% 4.87/1.57 % (4056808)Also succeeded, but the first one will report.
% 4.87/1.57 % (4056809)Also succeeded, but the first one will report.
% 4.87/1.57 % (4056810)Instruction limit reached!
% 4.87/1.57 % (4056810)------------------------------
% 4.87/1.57 % (4056810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.57 % (4056810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.57 % (4056810)CaDiCaL version: 2.1.3
% 4.87/1.57 % (4056810)Termination reason: Instruction limit
% 4.87/1.57 % (4056810)Termination phase: Saturation
% 4.87/1.57 % (4056810)Time elapsed: 0.120 s
% 4.87/1.57 % (4056810)Peak memory usage: 89 MB
% 4.87/1.57 % (4056810)Instructions burned: 117 (million)
% 4.87/1.57 % (4056822)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=3669680814:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 4.87/1.57 % (4056822)Refutation not found, incomplete strategy
% 4.87/1.57 % (4056822)------------------------------
% 4.87/1.57 % (4056822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.57 % (4056822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.57 % (4056822)CaDiCaL version: 2.1.3
% 4.87/1.57 % (4056822)Termination reason: Refutation not found, incomplete strategy
% 4.87/1.57 % (4056822)Time elapsed: 0.004 s
% 4.87/1.57 % (4056822)Peak memory usage: 88 MB
% 4.87/1.57 % (4056822)Instructions burned: 2 (million)
% 4.87/1.57 % (4056807)Refutation found. Thanks to Tanya!
% 4.87/1.57 % SZS status Unsatisfiable for theBenchmark
% 4.87/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 4.87/1.57 % (4056807)------------------------------
% 4.87/1.57 % (4056807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.57 % (4056807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.57 % (4056807)CaDiCaL version: 2.1.3
% 4.87/1.57 % (4056807)Termination reason: Refutation
% 4.87/1.57 % (4056807)Time elapsed: 0.007 s
% 4.87/1.57 % (4056807)Peak memory usage: 88 MB
% 4.87/1.57 % (4056807)Instructions burned: 6 (million)
% 4.87/1.57 % (4056807)------------------------------
% 4.87/1.57 % (4056807)------------------------------
% 4.87/1.57 % (4056784)Success in time 0.618 s
% 4.87/1.57 % Vampire exiting
%------------------------------------------------------------------------------