%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET027-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:39:41 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.37s
% Output : Refutation 3.49s
% 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/sandbox/benchmark/theBenchmark.p',subset1) ).
fof(f80,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset2) ).
fof(f81,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset3) ).
fof(f162,axiom,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_b) ).
fof(f163,axiom,
subset(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_c) ).
fof(f164,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_subset_c) ).
fof(f179,plain,
member(f17(a,c),a),
inference(resolution,[],[f80,f164]) ).
fof(f180,plain,
! [X0] :
( ~ subset(a,X0)
| member(f17(a,c),X0) ),
inference(resolution,[],[f79,f179]) ).
fof(f182,plain,
member(f17(a,c),b),
inference(resolution,[],[f180,f162]) ).
fof(f186,plain,
! [X0] :
( ~ subset(b,X0)
| member(f17(a,c),X0) ),
inference(resolution,[],[f182,f79]) ).
fof(f189,plain,
member(f17(a,c),c),
inference(resolution,[],[f186,f163]) ).
fof(f191,plain,
subset(a,c),
inference(resolution,[],[f189,f81]) ).
fof(f193,plain,
$false,
inference(forward_subsumption_resolution,[],[f191,f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n004.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 00:13:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.49/1.37 % (4024540)Input is clausal, will run a generic CNF schedule.
% 3.49/1.37 % (4024546)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2309020881:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.37 % (4024547)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2996956433:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.37 % (4024549)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2536878765:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.37 % (4024548)lrs+10_1_sil=8000:sp=occurrence:random_seed=1565482544:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.37 % (4024545)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=2994913022:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.37 % (4024551)dis-21_1_sil=8000:lcm=predicate:random_seed=4073341557: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)
% 3.49/1.37 % (4024550)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=5819:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.37 % (4024548)Refutation not found, incomplete strategy
% 3.49/1.37 % (4024548)------------------------------
% 3.49/1.37 % (4024548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (4024549)Refutation not found, incomplete strategy
% 3.49/1.37 % (4024549)------------------------------
% 3.49/1.37 % (4024549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (4024548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (4024549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (4024549)CaDiCaL version: 2.1.3
% 3.49/1.37 % (4024548)CaDiCaL version: 2.1.3
% 3.49/1.37 % (4024549)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.37 % (4024549)Time elapsed: 0.001 s
% 3.49/1.37 % (4024548)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.37 % (4024548)Time elapsed: 0.001 s
% 3.49/1.37 % (4024548)Peak memory usage: 87 MB
% 3.49/1.37 % (4024549)Peak memory usage: 87 MB
% 3.49/1.37 % (4024550)First to succeed.
% 3.49/1.37 % (4024550)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4024540"
% 3.49/1.37 % (4024551)Instruction limit reached!
% 3.49/1.37 % (4024551)------------------------------
% 3.49/1.37 % (4024551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (4024551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (4024551)CaDiCaL version: 2.1.3
% 3.49/1.37 % (4024551)Termination reason: Instruction limit
% 3.49/1.37 % (4024551)Termination phase: Saturation
% 3.49/1.37 % (4024551)Time elapsed: 0.063 s
% 3.49/1.37 % (4024551)Peak memory usage: 88 MB
% 3.49/1.37 % (4024551)Instructions burned: 118 (million)
% 3.49/1.37 % (4024559)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=2909618124:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.49/1.37 % (4024559)Also succeeded, but the first one will report.
% 3.49/1.37 % (4024548)------------------------------
% 3.49/1.37 % (4024548)------------------------------
% 3.49/1.37 % (4024549)------------------------------
% 3.49/1.37 % (4024549)------------------------------
% 3.49/1.37 % (4024550)Refutation found. Thanks to Tanya!
% 3.49/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.37 % (4024550)------------------------------
% 3.49/1.37 % (4024550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (4024550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (4024550)CaDiCaL version: 2.1.3
% 3.49/1.37 % (4024550)Termination reason: Refutation
% 3.49/1.37 % (4024550)Time elapsed: 0.005 s
% 3.49/1.37 % (4024550)Peak memory usage: 88 MB
% 3.49/1.37 % (4024550)Instructions burned: 5 (million)
% 3.49/1.37 % (4024550)------------------------------
% 3.49/1.37 % (4024550)------------------------------
% 3.49/1.37 % (4024540)Success in time 0.43 s
% 3.49/1.37 % Vampire exiting
%------------------------------------------------------------------------------