%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET115-7 : 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 : n026.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 12:40:11 PM UTC 2026
% Result : Unsatisfiable 3.31s 1.24s
% Output : Refutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,axiom,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
| first(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).
fof(f181,negated_conjecture,
ordered_pair(first(x),second(x)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets3_1) ).
fof(f182,plain,
x != ordered_pair(first(x),second(x)),
inference(reorient_equations,[],[f181]) ).
fof(f183,negated_conjecture,
first(x) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_in_pair_of_non_sets) ).
fof(f184,plain,
x != first(x),
inference(reorient_equations,[],[f183]) ).
fof(f187,plain,
( x != x
| x = first(x) ),
inference(superposition,[],[f182,f177]) ).
fof(f194,plain,
x = first(x),
inference(trivial_inequality_removal,[],[f187]) ).
fof(f195,plain,
$false,
inference(forward_subsumption_resolution,[],[f194,f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET115-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n026.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 00:50:42 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 3.31/1.24 % (3372004)Input is clausal, will run a generic CNF schedule.
% 3.31/1.24 % (3372015)dis-21_1_sil=8000:lcm=predicate:random_seed=751543254: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)
% 3.31/1.24 % (3372009)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=961887335:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.31/1.24 % (3372011)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=824345565:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.31/1.24 % (3372013)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=101657047:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.31/1.24 % (3372014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3719782063:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.31/1.24 % (3372010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=91829986:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.31/1.24 % (3372012)lrs+10_1_sil=8000:sp=occurrence:random_seed=3588161669:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.31/1.24 % (3372012)First to succeed.
% 3.31/1.24 % (3372012)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3372004"
% 3.31/1.24 % (3372015)Instruction limit reached!
% 3.31/1.24 % (3372015)------------------------------
% 3.31/1.24 % (3372015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.31/1.24 % (3372015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.24 % (3372015)CaDiCaL version: 2.1.3
% 3.31/1.24 % (3372015)Termination reason: Instruction limit
% 3.31/1.24 % (3372015)Termination phase: Saturation
% 3.31/1.24 % (3372015)Time elapsed: 0.041 s
% 3.31/1.24 % (3372015)Peak memory usage: 89 MB
% 3.31/1.24 % (3372015)Instructions burned: 117 (million)
% 3.31/1.24 % (3372014)Also succeeded, but the first one will report.
% 3.31/1.24 % (3372013)Also succeeded, but the first one will report.
% 3.31/1.24 % (3372023)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=227191140:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.31/1.24 % (3372023)Also succeeded, but the first one will report.
% 3.31/1.24 % (3372012)Refutation found. Thanks to Tanya!
% 3.31/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.31/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.31/1.24 % (3372012)------------------------------
% 3.31/1.24 % (3372012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.31/1.24 % (3372012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.24 % (3372012)CaDiCaL version: 2.1.3
% 3.31/1.24 % (3372012)Termination reason: Refutation
% 3.31/1.24 % (3372012)Time elapsed: 0.003 s
% 3.31/1.24 % (3372012)Peak memory usage: 88 MB
% 3.31/1.24 % (3372012)Instructions burned: 2 (million)
% 3.31/1.24 % (3372012)------------------------------
% 3.31/1.24 % (3372012)------------------------------
% 3.31/1.24 % (3372004)Success in time 0.414 s
% 3.31/1.24 % Vampire exiting
%------------------------------------------------------------------------------