%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET834-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:44:45 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f7,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f9,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ c_lessequals(v_Y,X0,tc_set(t_a))
| ~ c_lessequals(v_Z,X0,tc_set(t_a))
| c_lessequals(v_X,X0,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f6,f2]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f6,f1]) ).
fof(f29,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f12,f5]) ).
fof(f32,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f33,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f13,f5]) ).
fof(f36,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f33]) ).
fof(f37,plain,
! [X0] :
( ~ c_lessequals(v_Z,c_union(v_Y,X0,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(v_Y,X0,t_a),tc_set(t_a)) ),
inference(resolution,[],[f32,f10]) ).
fof(f56,plain,
c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)),
inference(resolution,[],[f36,f37]) ).
fof(f57,plain,
! [X0] :
( c_in(X0,c_union(v_Y,v_Z,t_a),t_a)
| ~ c_in(X0,v_X,t_a) ),
inference(resolution,[],[f56,f4]) ).
fof(f68,plain,
! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a)
| c_in(X0,v_Y,t_a) ),
inference(resolution,[],[f57,f3]) ).
fof(f76,plain,
( c_in(v_x,v_Z,t_a)
| c_in(v_x,v_Y,t_a) ),
inference(resolution,[],[f68,f7]) ).
fof(f82,plain,
c_in(v_x,v_Y,t_a),
inference(forward_subsumption_resolution,[],[f76,f8]) ).
fof(f83,plain,
$false,
inference(forward_subsumption_resolution,[],[f82,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET834-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 02:54:40 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.47 % (1982881)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1982886)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=581513042_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % (1982887)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % (1982887)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2751128130:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1982888)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1203144199:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % TRYING [6]
% 0.17/0.47 % (1982889)dis+10_1_sil=32000:sp=arity:random_seed=1283533884:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (1982890)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=513062503:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (1982891)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2494534206:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (1982892)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2331735062:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (1982889) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1982881-1982889"...
% 0.17/0.47 % (1982889)...printing done.
% 0.17/0.47 % (1982892) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1982881-1982892"...
% 0.17/0.47 % (1982889)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1982889)------------------------------
% 0.17/0.47 % (1982889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1982889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1982889)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1982889)Termination reason: Refutation
% 0.17/0.47 % (1982889)Time elapsed: 0.003 s
% 0.17/0.47 % (1982889)Peak memory usage: 11 MB
% 0.17/0.47 % (1982889)Instructions burned: 3 (million)
% 0.17/0.47 % (1982881)Success in time 0.04 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------