%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET094-6 : 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 : n003.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 12:40:04 PM UTC 2026
% Result : Unsatisfiable 3.60s 1.48s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 17 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f101,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).
fof(f102,plain,
x = singleton(member_of(x)),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).
fof(f104,negated_conjecture,
member_of(x) != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).
fof(f276,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f277,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f276]) ).
fof(f525,plain,
! [X0] :
( ~ member(X0,x)
| member_of(x) = X0 ),
inference(superposition,[],[f277,f102]) ).
fof(f532,plain,
member_of(x) = y,
inference(resolution,[],[f525,f103]) ).
fof(f533,plain,
$false,
inference(forward_subsumption_resolution,[],[f532,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET094-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n003.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 00:41:27 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 3.60/1.48 % (1086652)Input is clausal, will run a generic CNF schedule.
% 3.60/1.48 % (1086658)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1815678821:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.48 % (1086657)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=3311997852:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.48 % (1086662)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2082693268:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.48 % (1086660)lrs+10_1_sil=8000:sp=occurrence:random_seed=2364111231:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.48 % (1086661)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3091363818:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.48 % (1086663)dis-21_1_sil=8000:lcm=predicate:random_seed=1306785609: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)
% 3.60/1.48 % (1086659)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=674169747:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.48 % (1086660)Refutation not found, incomplete strategy
% 3.60/1.48 % (1086660)------------------------------
% 3.60/1.48 % (1086660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.48 % (1086660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.48 % (1086660)CaDiCaL version: 2.1.3
% 3.60/1.48 % (1086660)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.48 % (1086660)Time elapsed: 0.001 s
% 3.60/1.48 % (1086660)Peak memory usage: 87 MB
% 3.60/1.48 % (1086662)First to succeed.
% 3.60/1.48 % (1086662)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1086652"
% 3.60/1.48 % (1086663)Instruction limit reached!
% 3.60/1.48 % (1086663)------------------------------
% 3.60/1.48 % (1086663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.48 % (1086663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.48 % (1086663)CaDiCaL version: 2.1.3
% 3.60/1.48 % (1086663)Termination reason: Instruction limit
% 3.60/1.48 % (1086663)Termination phase: Saturation
% 3.60/1.48 % (1086663)Time elapsed: 0.064 s
% 3.60/1.48 % (1086663)Peak memory usage: 89 MB
% 3.60/1.48 % (1086663)Instructions burned: 118 (million)
% 3.60/1.48 % (1086661)Instruction limit reached!
% 3.60/1.48 % (1086661)------------------------------
% 3.60/1.48 % (1086661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.48 % (1086661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.48 % (1086661)CaDiCaL version: 2.1.3
% 3.60/1.48 % (1086661)Termination reason: Instruction limit
% 3.60/1.48 % (1086661)Termination phase: Saturation
% 3.60/1.48 % (1086661)Time elapsed: 0.071 s
% 3.60/1.48 % (1086661)Peak memory usage: 89 MB
% 3.60/1.48 % (1086661)Instructions burned: 117 (million)
% 3.60/1.48 % (1086671)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=148210311:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.60/1.48 % (1086672)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3184609207: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)
% 3.60/1.48 % (1086672)Also succeeded, but the first one will report.
% 3.60/1.48 % (1086660)------------------------------
% 3.60/1.48 % (1086660)------------------------------
% 3.60/1.48 % (1086662)Refutation found. Thanks to Tanya!
% 3.60/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.48 % (1086662)------------------------------
% 3.60/1.48 % (1086662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.48 % (1086662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.48 % (1086662)CaDiCaL version: 2.1.3
% 3.60/1.48 % (1086662)Termination reason: Refutation
% 3.60/1.48 % (1086662)Time elapsed: 0.016 s
% 3.60/1.48 % (1086662)Peak memory usage: 89 MB
% 3.60/1.48 % (1086662)Instructions burned: 19 (million)
% 3.60/1.48 % (1086662)------------------------------
% 3.60/1.48 % (1086662)------------------------------
% 3.60/1.48 % (1086652)Success in time 0.428 s
% 3.60/1.48 % Vampire exiting
%------------------------------------------------------------------------------