%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET071-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:39:56 PM UTC 2026
% Result : Unsatisfiable 3.68s 1.42s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 41 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f123,axiom,
! [X0,X1] :
( member(X0,universal_class)
| unordered_pair(X1,X0) = singleton(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).
fof(f124,axiom,
! [X0,X1] :
( member(X0,universal_class)
| unordered_pair(X0,X1) = singleton(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton2) ).
fof(f125,negated_conjecture,
unordered_pair(x,y) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_1) ).
fof(f126,plain,
null_class != unordered_pair(x,y),
inference(reorient_equations,[],[f125]) ).
fof(f127,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_2) ).
fof(f128,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_3) ).
fof(f187,plain,
! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f128]) ).
fof(f195,plain,
! [X0] : ~ member(y,X0),
inference(forward_subsumption_resolution,[],[f187,f4]) ).
fof(f260,plain,
! [X0] : singleton(X0) = unordered_pair(X0,y),
inference(resolution,[],[f123,f128]) ).
fof(f273,plain,
! [X0] : singleton(X0) = unordered_pair(x,X0),
inference(resolution,[],[f124,f127]) ).
fof(f282,plain,
null_class != singleton(x),
inference(superposition,[],[f126,f260]) ).
fof(f309,plain,
singleton(x) = singleton(y),
inference(superposition,[],[f273,f260]) ).
fof(f377,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| y = X1 ),
inference(superposition,[],[f8,f260]) ).
fof(f523,plain,
! [X0] :
( ~ member(X0,singleton(x))
| y = X0
| y = X0 ),
inference(superposition,[],[f377,f309]) ).
fof(f524,plain,
! [X0] :
( ~ member(X0,singleton(x))
| y = X0 ),
inference(duplicate_literal_removal,[],[f523]) ).
fof(f530,plain,
( y = regular(singleton(x))
| null_class = singleton(x) ),
inference(resolution,[],[f524,f68]) ).
fof(f538,plain,
y = regular(singleton(x)),
inference(forward_subsumption_resolution,[],[f530,f282]) ).
fof(f543,plain,
( member(y,singleton(x))
| null_class = singleton(x) ),
inference(superposition,[],[f68,f538]) ).
fof(f544,plain,
null_class = singleton(x),
inference(forward_subsumption_resolution,[],[f543,f195]) ).
fof(f546,plain,
$false,
inference(forward_subsumption_resolution,[],[f544,f282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET071-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n006.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 00:30:10 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 3.68/1.42 % (3481270)Input is clausal, will run a generic CNF schedule.
% 3.68/1.42 % (3481275)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=2549771573:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.68/1.42 % (3481280)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=92373722:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.68/1.42 % (3481276)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3717832412:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.68/1.42 % (3481278)lrs+10_1_sil=8000:sp=occurrence:random_seed=1627135312:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.68/1.42 % (3481279)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3189825015:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.68/1.42 % (3481277)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1148225050:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.68/1.42 % (3481281)dis-21_1_sil=8000:lcm=predicate:random_seed=1527093332: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)
% 3.68/1.42 % (3481280)First to succeed.
% 3.68/1.42 % (3481280)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3481270"
% 3.68/1.42 % (3481278)Instruction limit reached!
% 3.68/1.42 % (3481278)------------------------------
% 3.68/1.42 % (3481278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.42 % (3481278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.42 % (3481278)CaDiCaL version: 2.1.3
% 3.68/1.42 % (3481278)Termination reason: Instruction limit
% 3.68/1.42 % (3481278)Termination phase: Saturation
% 3.68/1.42 % (3481278)Time elapsed: 0.060 s
% 3.68/1.42 % (3481278)Peak memory usage: 88 MB
% 3.68/1.42 % (3481278)Instructions burned: 107 (million)
% 3.68/1.42 % (3481279)Instruction limit reached!
% 3.68/1.42 % (3481279)------------------------------
% 3.68/1.42 % (3481279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.42 % (3481279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.42 % (3481279)CaDiCaL version: 2.1.3
% 3.68/1.42 % (3481279)Termination reason: Instruction limit
% 3.68/1.42 % (3481279)Termination phase: Saturation
% 3.68/1.42 % (3481279)Time elapsed: 0.062 s
% 3.68/1.42 % (3481279)Peak memory usage: 88 MB
% 3.68/1.42 % (3481279)Instructions burned: 114 (million)
% 3.68/1.42 % (3481281)Instruction limit reached!
% 3.68/1.42 % (3481281)------------------------------
% 3.68/1.42 % (3481281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.42 % (3481281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.42 % (3481281)CaDiCaL version: 2.1.3
% 3.68/1.42 % (3481281)Termination reason: Instruction limit
% 3.68/1.42 % (3481281)Termination phase: Saturation
% 3.68/1.42 % (3481281)Time elapsed: 0.074 s
% 3.68/1.42 % (3481281)Peak memory usage: 89 MB
% 3.68/1.42 % (3481281)Instructions burned: 117 (million)
% 3.68/1.42 % (3481289)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=3606577321:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.68/1.42 % (3481290)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1620327140: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)
% 3.68/1.42 % (3481289)Refutation not found, incomplete strategy
% 3.68/1.42 % (3481289)------------------------------
% 3.68/1.42 % (3481289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.42 % (3481289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.42 % (3481289)CaDiCaL version: 2.1.3
% 3.68/1.42 % (3481289)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.42 % (3481289)Time elapsed: 0.004 s
% 3.68/1.42 % (3481289)Peak memory usage: 88 MB
% 3.68/1.42 % (3481289)Instructions burned: 4 (million)
% 3.68/1.42 % (3481291)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1459984428:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.68/1.42 % (3481280)Refutation found. Thanks to Tanya!
% 3.68/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.68/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.42 % (3481280)------------------------------
% 3.68/1.42 % (3481280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.42 % (3481280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.42 % (3481280)CaDiCaL version: 2.1.3
% 3.68/1.42 % (3481280)Termination reason: Refutation
% 3.68/1.42 % (3481280)Time elapsed: 0.017 s
% 3.68/1.42 % (3481280)Peak memory usage: 89 MB
% 3.68/1.42 % (3481280)Instructions burned: 21 (million)
% 3.68/1.42 % (3481280)------------------------------
% 3.68/1.42 % (3481280)------------------------------
% 3.68/1.42 % (3481270)Success in time 0.447 s
% 3.68/1.42 % Vampire exiting
%------------------------------------------------------------------------------