%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET073-6 : 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 : n014.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 12:39:57 PM UTC 2026
% Result : Unsatisfiable 4.01s 1.53s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 28 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f101,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_1) ).
fof(f102,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_2) ).
fof(f103,plain,
null_class = unordered_pair(x,y),
inference(reorient_equations,[],[f102]) ).
fof(f112,plain,
( member(x,null_class)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f103]) ).
fof(f114,plain,
member(x,null_class),
inference(forward_subsumption_resolution,[],[f112,f101]) ).
fof(f210,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f622,plain,
! [X0] :
( member(x,X0)
| null_class = X0 ),
inference(resolution,[],[f210,f114]) ).
fof(f636,plain,
! [X0] :
( ~ member(x,X0)
| complement(X0) = null_class ),
inference(resolution,[],[f622,f24]) ).
fof(f703,plain,
null_class = complement(null_class),
inference(resolution,[],[f636,f114]) ).
fof(f772,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f703]) ).
fof(f782,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f837,plain,
$false,
inference(resolution,[],[f782,f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET073-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:30:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 4.01/1.53 % (1317371)Input is clausal, will run a generic CNF schedule.
% 4.01/1.53 % (1317380)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3609517641:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.01/1.53 % (1317377)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=811925137:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.01/1.53 % (1317376)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=2173461953:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.01/1.53 % (1317378)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2872354972:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.01/1.53 % (1317379)lrs+10_1_sil=8000:sp=occurrence:random_seed=1837118948:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.01/1.53 % (1317379)Refutation not found, incomplete strategy
% 4.01/1.53 % (1317379)------------------------------
% 4.01/1.53 % (1317379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1317379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1317379)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1317379)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.53 % (1317379)Time elapsed: 0.002 s
% 4.01/1.53 % (1317379)Peak memory usage: 88 MB
% 4.01/1.53 % (1317379)Instructions burned: 1 (million)
% 4.01/1.53 % (1317380)Instruction limit reached!
% 4.01/1.53 % (1317380)------------------------------
% 4.01/1.53 % (1317380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1317380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1317380)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1317380)Termination reason: Instruction limit
% 4.01/1.53 % (1317380)Termination phase: Saturation
% 4.01/1.53 % (1317380)Time elapsed: 0.039 s
% 4.01/1.53 % (1317380)Peak memory usage: 89 MB
% 4.01/1.53 % (1317380)Instructions burned: 117 (million)
% 4.01/1.53 % (1317382)dis-21_1_sil=8000:lcm=predicate:random_seed=3747414859: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)
% 4.01/1.53 % (1317381)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1684190311:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.01/1.53 % (1317381)First to succeed.
% 4.01/1.53 % (1317381)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1317371"
% 4.01/1.53 % (1317382)Instruction limit reached!
% 4.01/1.53 % (1317382)------------------------------
% 4.01/1.53 % (1317382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1317382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1317382)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1317382)Termination reason: Instruction limit
% 4.01/1.53 % (1317382)Termination phase: Saturation
% 4.01/1.53 % (1317382)Time elapsed: 0.065 s
% 4.01/1.53 % (1317382)Peak memory usage: 88 MB
% 4.01/1.53 % (1317382)Instructions burned: 119 (million)
% 4.01/1.53 % (1317388)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=1009503065:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.01/1.53 % (1317388)Instruction limit reached!
% 4.01/1.53 % (1317388)------------------------------
% 4.01/1.53 % (1317388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1317388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1317388)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1317388)Termination reason: Instruction limit
% 4.01/1.53 % (1317388)Termination phase: Saturation
% 4.01/1.53 % (1317388)Time elapsed: 0.047 s
% 4.01/1.53 % (1317388)Peak memory usage: 89 MB
% 4.01/1.53 % (1317388)Instructions burned: 145 (million)
% 4.01/1.53 % (1317379)------------------------------
% 4.01/1.53 % (1317379)------------------------------
% 4.01/1.53 % (1317391)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2509695337: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)
% 4.01/1.53 % (1317393)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2541501974:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.01/1.53 % (1317381)Refutation found. Thanks to Tanya!
% 4.01/1.53 % SZS status Unsatisfiable for theBenchmark
% 4.01/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 4.01/1.53 % (1317381)------------------------------
% 4.01/1.53 % (1317381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1317381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1317381)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1317381)Termination reason: Refutation
% 4.01/1.53 % (1317381)Time elapsed: 0.025 s
% 4.01/1.53 % (1317381)Peak memory usage: 89 MB
% 4.01/1.53 % (1317381)Instructions burned: 30 (million)
% 4.01/1.53 % (1317381)------------------------------
% 4.01/1.53 % (1317381)------------------------------
% 4.01/1.53 % (1317371)Success in time 0.48 s
% 4.01/1.53 % Vampire exiting
%------------------------------------------------------------------------------