%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET839-2 : 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 : n012.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 12:42:05 PM UTC 2026
% Result : Unsatisfiable 2.35s 0.94s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 41 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X0,X1,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f6,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(f7,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( c_lessequals(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f4,f2]) ).
fof(f11,plain,
! [X0,X1] :
( ~ c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),X1,tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = X1
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f7,f8]) ).
fof(f13,plain,
! [X0,X1] :
( c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X1,tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),v_S,tc_set(t_a))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_S,tc_set(t_a)) ),
inference(resolution,[],[f11,f8]) ).
fof(f15,plain,
! [X0,X1] :
( c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X1,tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_S,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f13,f4]) ).
fof(f16,plain,
! [X0,X1] :
( c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f15,f4]) ).
fof(f19,plain,
! [X0,X1] :
( c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f16,f1]) ).
fof(f22,plain,
! [X0,X1] : c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(resolution,[],[f19,f1]) ).
fof(f38,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(superposition,[],[f5,f22]) ).
fof(f41,plain,
! [X0,X1] : ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(forward_subsumption_resolution,[],[f38,f1]) ).
fof(f55,plain,
$false,
inference(resolution,[],[f41,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET839-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Mon Sep 28 02:57:05 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 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
% 2.35/0.94 % (2972867)Input is clausal, will run a generic CNF schedule.
% 2.35/0.94 % (2972877)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1144222186:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.35/0.94 % (2972876)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=547704381:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.35/0.94 % (2972872)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=386214785:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.35/0.94 % (2972873)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=171576886:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.35/0.94 % (2972878)dis-21_1_sil=8000:lcm=predicate:random_seed=1639563905: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)
% 2.35/0.94 % (2972875)lrs+10_1_sil=8000:sp=occurrence:random_seed=3940823555:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.35/0.94 % (2972874)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1850080748:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.35/0.94 % (2972876)Refutation not found, incomplete strategy
% 2.35/0.94 % (2972876)------------------------------
% 2.35/0.94 % (2972876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.94 % (2972876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.94 % (2972876)CaDiCaL version: 2.1.3
% 2.35/0.94 % (2972876)Termination reason: Refutation not found, incomplete strategy
% 2.35/0.94 % (2972876)Time elapsed: 0.0000 s
% 2.35/0.94 % (2972878)Refutation not found, incomplete strategy
% 2.35/0.94 % (2972878)------------------------------
% 2.35/0.94 % (2972878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.94 % (2972876)Peak memory usage: 86 MB
% 2.35/0.94 % (2972878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.94 % (2972878)CaDiCaL version: 2.1.3
% 2.35/0.94 % (2972878)Termination reason: Refutation not found, incomplete strategy
% 2.35/0.94 % (2972878)Time elapsed: 0.0000 s
% 2.35/0.94 % (2972878)Peak memory usage: 88 MB
% 2.35/0.94 % (2972875)First to succeed.
% 2.35/0.94 % (2972877)Also succeeded, but the first one will report.
% 2.35/0.94 % (2972875)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2972867"
% 2.35/0.94 % (2972878)------------------------------
% 2.35/0.94 % (2972878)------------------------------
% 2.35/0.94 % (2972876)------------------------------
% 2.35/0.94 % (2972876)------------------------------
% 2.35/0.94 % (2972875)Refutation found. Thanks to Tanya!
% 2.35/0.94 % SZS status Unsatisfiable for theBenchmark
% 2.35/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.35/0.94 % (2972875)------------------------------
% 2.35/0.94 % (2972875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.94 % (2972875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.94 % (2972875)CaDiCaL version: 2.1.3
% 2.35/0.94 % (2972875)Termination reason: Refutation
% 2.35/0.94 % (2972875)Time elapsed: 0.002 s
% 2.35/0.94 % (2972875)Peak memory usage: 88 MB
% 2.35/0.94 % (2972875)Instructions burned: 3 (million)
% 2.35/0.94 % (2972875)------------------------------
% 2.35/0.94 % (2972875)------------------------------
% 2.35/0.94 % (2972867)Success in time 0.301 s
% 2.35/0.94 % Vampire exiting
%------------------------------------------------------------------------------