%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET117-7 : 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 : 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 12:40:11 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.33s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,axiom,
! [X0,X1] : member(ordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_is_set) ).
fof(f185,negated_conjecture,
ordered_pair(first(x),second(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_ordered_pairs_are_sets_1) ).
fof(f186,plain,
x = ordered_pair(first(x),second(x)),
inference(reorient_equations,[],[f185]) ).
fof(f187,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_ordered_pairs_are_sets_2) ).
fof(f191,plain,
member(x,universal_class),
inference(superposition,[],[f163,f186]) ).
fof(f192,plain,
$false,
inference(forward_subsumption_resolution,[],[f191,f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET117-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:48:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.54/1.33 % (709191)Input is clausal, will run a generic CNF schedule.
% 2.54/1.33 % (709201)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2099864696:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.54/1.33 % (709201)First to succeed.
% 2.54/1.33 % (709201)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-709191"
% 2.54/1.33 % (709197)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3352328845:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.54/1.33 % (709199)lrs+10_1_sil=8000:sp=occurrence:random_seed=1363985879:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.54/1.33 % (709202)dis-21_1_sil=8000:lcm=predicate:random_seed=2066609448: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)
% 2.54/1.33 % (709196)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=3448188797:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.54/1.33 % (709198)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1196105071:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.54/1.33 % (709200)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2144927033:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.54/1.33 % (709199)Also succeeded, but the first one will report.
% 2.54/1.33 % (709200)Also succeeded, but the first one will report.
% 2.54/1.33 % (709202)Instruction limit reached!
% 2.54/1.33 % (709202)------------------------------
% 2.54/1.33 % (709202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.33 % (709202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.33 % (709202)CaDiCaL version: 2.1.3
% 2.54/1.33 % (709202)Termination reason: Instruction limit
% 2.54/1.33 % (709202)Termination phase: Saturation
% 2.54/1.33 % (709202)Time elapsed: 0.077 s
% 2.54/1.33 % (709202)Peak memory usage: 89 MB
% 2.54/1.33 % (709202)Instructions burned: 117 (million)
% 2.54/1.33 % (709201)Refutation found. Thanks to Tanya!
% 2.54/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.54/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.33 % (709201)------------------------------
% 2.54/1.33 % (709201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.33 % (709201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.33 % (709201)CaDiCaL version: 2.1.3
% 2.54/1.33 % (709201)Termination reason: Refutation
% 2.54/1.33 % (709201)Time elapsed: 0.002 s
% 2.54/1.33 % (709201)Peak memory usage: 88 MB
% 2.54/1.33 % (709201)Instructions burned: 6 (million)
% 2.54/1.33 % (709201)------------------------------
% 2.54/1.33 % (709201)------------------------------
% 2.54/1.33 % (709191)Success in time 0.278 s
% 2.54/1.33 % Vampire exiting
%------------------------------------------------------------------------------