%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET639+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:41:30 PM UTC 2026
% Result : Theorem 0.18s 1.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 30 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 7 ~; 2 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
=> intersection(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_intersection) ).
fof(f6,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f10,conjecture,
! [X0,X1] :
( ( subset(X0,X1)
& intersection(X1,X0) = empty_set )
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th121) ).
fof(f11,negated_conjecture,
~ ! [X0,X1] :
( ( subset(X0,X1)
& intersection(X1,X0) = empty_set )
=> X0 = empty_set ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f14,plain,
? [X0,X1] :
( empty_set != X0
& subset(X0,X1)
& intersection(X1,X0) = empty_set ),
inference(ennf_transformation,[],[f11]) ).
fof(f15,plain,
? [X0,X1] :
( empty_set != X0
& subset(X0,X1)
& intersection(X1,X0) = empty_set ),
inference(flattening,[],[f14]) ).
fof(f26,plain,
( empty_set != sK2
& subset(sK2,sK3)
& empty_set = intersection(sK3,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f15]) ).
fof(f27,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| intersection(X0,X1) = X0 ),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
empty_set = intersection(sK3,sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f45,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
empty_set != sK2,
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
empty_set = intersection(sK2,sK3),
inference(superposition,[],[f38,f44]) ).
fof(f55,plain,
sK2 = intersection(sK2,sK3),
inference(resolution,[],[f27,f45]) ).
fof(f57,plain,
empty_set = sK2,
inference(forward_demodulation,[],[f55,f51]) ).
fof(f58,plain,
$false,
inference(forward_subsumption_resolution,[],[f57,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET639+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n020.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 02:25:05 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.18/1.31 % (3976608)Detected formulas, will run a generic FOF schedule.
% 0.18/1.31 % (3976618)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2050031367:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.18/1.31 % (3976618)First to succeed.
% 0.18/1.31 % (3976618)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3976608"
% 0.18/1.31 % (3976617)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3550046857:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.18/1.31 % (3976617)Also succeeded, but the first one will report.
% 0.18/1.31 % (3976613)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=2418540269:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.18/1.31 % (3976615)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3171726741:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.18/1.31 % (3976614)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4284186440:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.18/1.31 % (3976616)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2365893822:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.18/1.31 % (3976616)Also succeeded, but the first one will report.
% 0.18/1.31 % (3976619)dis-21_1_sil=8000:lcm=predicate:random_seed=3424273611:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.18/1.31 % (3976619)Instruction limit reached!
% 0.18/1.31 % (3976619)------------------------------
% 0.18/1.31 % (3976619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (3976619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (3976619)CaDiCaL version: 2.1.3
% 0.18/1.31 % (3976619)Termination reason: Instruction limit
% 0.18/1.31 % (3976619)Termination phase: Saturation
% 0.18/1.31 % (3976619)Time elapsed: 0.077 s
% 0.18/1.31 % (3976619)Peak memory usage: 89 MB
% 0.18/1.31 % (3976619)Instructions burned: 129 (million)
% 0.18/1.31 % (3976618)Refutation found. Thanks to Tanya!
% 0.18/1.31 % SZS status Theorem for theBenchmark
% 0.18/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.31 % (3976618)------------------------------
% 0.18/1.31 % (3976618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (3976618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (3976618)CaDiCaL version: 2.1.3
% 0.18/1.31 % (3976618)Termination reason: Refutation
% 0.18/1.31 % (3976618)Time elapsed: 0.001 s
% 0.18/1.31 % (3976618)Peak memory usage: 89 MB
% 0.18/1.31 % (3976618)Instructions burned: 1 (million)
% 0.18/1.31 % (3976618)------------------------------
% 0.18/1.31 % (3976618)------------------------------
% 0.18/1.31 % (3976608)Success in time 0.271 s
% 0.18/1.31 % Vampire exiting
%------------------------------------------------------------------------------