%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:19:42 PM UTC 2026
% Result : Unsatisfiable 3.83s 1.32s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 23 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f458,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f493,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f501,axiom,
! [X2,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f523,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f526,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
fof(f532,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f533,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f534,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f568,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(superposition,[],[f534,f532]) ).
fof(f675,plain,
! [X0] :
( c_in(hAPP(v_mgt__call,X0),v_G,t_a)
| ~ c_in(X0,v_U,tc_Com_Opname) ),
inference(superposition,[],[f526,f532]) ).
fof(f677,plain,
! [X0] :
( ~ c_in(X0,v_U,tc_Com_Opname)
| v_G = c_Set_Oinsert(hAPP(v_mgt__call,X0),v_G,t_a) ),
inference(resolution,[],[f675,f523]) ).
fof(f679,plain,
v_G = c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(resolution,[],[f677,f533]) ).
fof(f689,plain,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(superposition,[],[f501,f679]) ).
fof(f1257,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
inference(resolution,[],[f458,f568]) ).
fof(f1290,plain,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(forward_subsumption_resolution,[],[f1257,f493]) ).
fof(f1292,plain,
$false,
inference(forward_subsumption_resolution,[],[f1290,f689]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 12:48:39 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.83/1.32 % (2230881)Input is clausal, will run a generic CNF schedule.
% 3.83/1.32 % (2230887)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4132193835:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.83/1.32 % (2230886)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=2544145972:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.83/1.32 % (2230888)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3198286049:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.83/1.32 % (2230889)lrs+10_1_sil=8000:sp=occurrence:random_seed=946905244:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.83/1.32 % (2230891)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1875178797:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.83/1.32 % (2230890)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4169937618:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.83/1.32 % (2230892)dis-21_1_sil=8000:lcm=predicate:random_seed=524762897: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)
% 3.83/1.32 % (2230889)First to succeed.
% 3.83/1.32 % (2230889)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2230881"
% 3.83/1.32 % (2230890)Also succeeded, but the first one will report.
% 3.83/1.32 % (2230892)Instruction limit reached!
% 3.83/1.32 % (2230892)------------------------------
% 3.83/1.32 % (2230892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.32 % (2230892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.32 % (2230892)CaDiCaL version: 2.1.3
% 3.83/1.32 % (2230892)Termination reason: Instruction limit
% 3.83/1.32 % (2230892)Termination phase: Saturation
% 3.83/1.32 % (2230892)Time elapsed: 0.074 s
% 3.83/1.32 % (2230892)Peak memory usage: 89 MB
% 3.83/1.32 % (2230892)Instructions burned: 117 (million)
% 3.83/1.32 % (2230891)Also succeeded, but the first one will report.
% 3.83/1.32 % (2230900)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=4229228639:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.83/1.32 % (2230900)Also succeeded, but the first one will report.
% 3.83/1.32 % (2230889)Refutation found. Thanks to Tanya!
% 3.83/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.83/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.32 % (2230889)------------------------------
% 3.83/1.32 % (2230889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.32 % (2230889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.32 % (2230889)CaDiCaL version: 2.1.3
% 3.83/1.32 % (2230889)Termination reason: Refutation
% 3.83/1.32 % (2230889)Time elapsed: 0.030 s
% 3.83/1.32 % (2230889)Peak memory usage: 89 MB
% 3.83/1.32 % (2230889)Instructions burned: 41 (million)
% 3.83/1.32 % (2230889)------------------------------
% 3.83/1.32 % (2230889)------------------------------
% 3.83/1.32 % (2230881)Success in time 0.465 s
% 3.83/1.32 % Vampire exiting
%------------------------------------------------------------------------------