%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:42:09 PM UTC 2026
% Result : Unsatisfiable 2.63s 1.36s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 13 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f381,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f382,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f381]) ).
fof(f1445,negated_conjecture,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1446,negated_conjecture,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1447,negated_conjecture,
v_n != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1464,plain,
( ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a)))
| v_n = c_Union(v_Y,tc_set(t_a)) ),
inference(resolution,[],[f382,f1445]) ).
fof(f1466,plain,
v_n = c_Union(v_Y,tc_set(t_a)),
inference(forward_subsumption_resolution,[],[f1464,f1446]) ).
fof(f1477,plain,
$false,
inference(forward_subsumption_resolution,[],[f1466,f1447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:01:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.63/1.36 % (390301)Input is clausal, will run a generic CNF schedule.
% 2.63/1.36 % (390309)lrs+10_1_sil=8000:sp=occurrence:random_seed=3043350126:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.36 % (390309)First to succeed.
% 2.63/1.36 % (390309)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-390301"
% 2.63/1.36 % (390310)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1424652603:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.36 % (390311)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=104383616:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.36 % (390307)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3224126681:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.36 % (390306)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=3301112812:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.36 % (390308)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1501801493:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.36 % (390310)Also succeeded, but the first one will report.
% 2.63/1.36 % (390311)Also succeeded, but the first one will report.
% 2.63/1.36 % (390312)dis-21_1_sil=8000:lcm=predicate:random_seed=3377254989: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)
% 2.63/1.36 % (390312)Instruction limit reached!
% 2.63/1.36 % (390312)------------------------------
% 2.63/1.36 % (390312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.36 % (390312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.36 % (390312)CaDiCaL version: 2.1.3
% 2.63/1.36 % (390312)Termination reason: Instruction limit
% 2.63/1.36 % (390312)Termination phase: Saturation
% 2.63/1.36 % (390312)Time elapsed: 0.070 s
% 2.63/1.36 % (390312)Peak memory usage: 90 MB
% 2.63/1.36 % (390312)Instructions burned: 118 (million)
% 2.63/1.36 % (390309)Refutation found. Thanks to Tanya!
% 2.63/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.36 % (390309)------------------------------
% 2.63/1.36 % (390309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.36 % (390309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.36 % (390309)CaDiCaL version: 2.1.3
% 2.63/1.36 % (390309)Termination reason: Refutation
% 2.63/1.36 % (390309)Time elapsed: 0.003 s
% 2.63/1.36 % (390309)Peak memory usage: 89 MB
% 2.63/1.36 % (390309)Instructions burned: 4 (million)
% 2.63/1.36 % (390309)------------------------------
% 2.63/1.36 % (390309)------------------------------
% 2.63/1.36 % (390301)Success in time 0.309 s
% 2.63/1.36 % Vampire exiting
%------------------------------------------------------------------------------