%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:39:40 PM UTC 2026
% Result : Unsatisfiable 3.37s 1.33s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subset(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset1) ).
fof(f80,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2) ).
fof(f81,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset3) ).
fof(f174,axiom,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_b) ).
fof(f175,axiom,
subset(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_c) ).
fof(f176,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_subset_c) ).
fof(f191,plain,
member(f17(a,c),a),
inference(resolution,[],[f80,f176]) ).
fof(f192,plain,
! [X0] :
( ~ subset(a,X0)
| member(f17(a,c),X0) ),
inference(resolution,[],[f79,f191]) ).
fof(f194,plain,
member(f17(a,c),b),
inference(resolution,[],[f192,f174]) ).
fof(f198,plain,
! [X0] :
( ~ subset(b,X0)
| member(f17(a,c),X0) ),
inference(resolution,[],[f194,f79]) ).
fof(f201,plain,
member(f17(a,c),c),
inference(resolution,[],[f198,f175]) ).
fof(f226,plain,
subset(a,c),
inference(resolution,[],[f201,f81]) ).
fof(f228,plain,
$false,
inference(forward_subsumption_resolution,[],[f226,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 00:13:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.37/1.33 % (1311219)Input is clausal, will run a generic CNF schedule.
% 3.37/1.33 % (1311225)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=293271838:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.37/1.33 % (1311229)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2727355430:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.37/1.33 % (1311227)lrs+10_1_sil=8000:sp=occurrence:random_seed=4122758349:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.37/1.33 % (1311224)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=64481046:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.37/1.33 % (1311226)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4018253155:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.37/1.33 % (1311228)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2424373325:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.37/1.33 % (1311227)Refutation not found, incomplete strategy
% 3.37/1.33 % (1311227)------------------------------
% 3.37/1.33 % (1311227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.33 % (1311227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.33 % (1311227)CaDiCaL version: 2.1.3
% 3.37/1.33 % (1311227)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.33 % (1311227)Time elapsed: 0.002 s
% 3.37/1.33 % (1311227)Peak memory usage: 88 MB
% 3.37/1.33 % (1311227)Instructions burned: 1 (million)
% 3.37/1.33 % (1311228)Refutation not found, incomplete strategy
% 3.37/1.33 % (1311228)------------------------------
% 3.37/1.33 % (1311228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.33 % (1311228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.33 % (1311228)CaDiCaL version: 2.1.3
% 3.37/1.33 % (1311228)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.33 % (1311228)Time elapsed: 0.002 s
% 3.37/1.33 % (1311228)Peak memory usage: 88 MB
% 3.37/1.33 % (1311228)Instructions burned: 1 (million)
% 3.37/1.33 % (1311229)First to succeed.
% 3.37/1.33 % (1311229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1311219"
% 3.37/1.33 % (1311230)dis-21_1_sil=8000:lcm=predicate:random_seed=3932178361: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)
% 3.37/1.33 % (1311230)Instruction limit reached!
% 3.37/1.33 % (1311230)------------------------------
% 3.37/1.33 % (1311230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.33 % (1311230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.33 % (1311230)CaDiCaL version: 2.1.3
% 3.37/1.33 % (1311230)Termination reason: Instruction limit
% 3.37/1.33 % (1311230)Termination phase: Saturation
% 3.37/1.33 % (1311230)Time elapsed: 0.068 s
% 3.37/1.33 % (1311230)Peak memory usage: 89 MB
% 3.37/1.33 % (1311230)Instructions burned: 117 (million)
% 3.37/1.33 % (1311238)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=2201017660:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.37/1.33 % (1311238)Also succeeded, but the first one will report.
% 3.37/1.33 % (1311228)------------------------------
% 3.37/1.33 % (1311228)------------------------------
% 3.37/1.33 % (1311227)------------------------------
% 3.37/1.33 % (1311227)------------------------------
% 3.37/1.33 % (1311229)Refutation found. Thanks to Tanya!
% 3.37/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.37/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.33 % (1311229)------------------------------
% 3.37/1.33 % (1311229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.33 % (1311229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.33 % (1311229)CaDiCaL version: 2.1.3
% 3.37/1.33 % (1311229)Termination reason: Refutation
% 3.37/1.33 % (1311229)Time elapsed: 0.005 s
% 3.37/1.33 % (1311229)Peak memory usage: 88 MB
% 3.37/1.33 % (1311229)Instructions burned: 6 (million)
% 3.37/1.33 % (1311229)------------------------------
% 3.37/1.33 % (1311229)------------------------------
% 3.37/1.33 % (1311219)Success in time 0.41 s
% 3.37/1.33 % Vampire exiting
%------------------------------------------------------------------------------