%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV879-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 01:26:35 PM UTC 2026
% Result : Unsatisfiable 1.52s 0.49s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 39 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f712,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(f741,axiom,
! [X0,X1] :
( hBOOL(hAPP(hAPP(v_P,X0),X1))
| ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
fof(f750,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))
| ~ hBOOL(c_in(X0,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f986,axiom,
! [X2,X0,X1] : hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f1003,axiom,
! [X2,X0,X1] :
( c_Set_Oinsert(X0,X1,X2) = X1
| ~ hBOOL(c_in(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f1006,axiom,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(c_in(X0,X1,X2))
| hBOOL(c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
fof(f1011,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(f1012,negated_conjecture,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1013,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1405,plain,
! [X0,X1] : ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(consistent_polarity_flipping,[],[f712]) ).
fof(f1416,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| c_lessequals(X1,X0,tc_fun(t_a,tc_bool)) ),
inference(consistent_polarity_flipping,[],[f741]) ).
fof(f1423,plain,
! [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))
| hBOOL(c_in(X0,X3,X2)) ),
inference(consistent_polarity_flipping,[],[f750]) ).
fof(f1541,plain,
! [X2,X0,X1] : ~ hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X2)),
inference(consistent_polarity_flipping,[],[f986]) ).
fof(f1551,plain,
! [X2,X0,X1] :
( hBOOL(c_in(X0,X1,X2))
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(consistent_polarity_flipping,[],[f1003]) ).
fof(f1552,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4))
| hBOOL(c_in(X0,X1,X2)) ),
inference(consistent_polarity_flipping,[],[f1006]) ).
fof(f1556,plain,
~ hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
inference(consistent_polarity_flipping,[],[f1012]) ).
fof(f1557,plain,
hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(consistent_polarity_flipping,[],[f1013]) ).
fof(f1583,plain,
hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(forward_demodulation,[],[f1557,f1011]) ).
fof(f2053,plain,
c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(resolution,[],[f1416,f1583]) ).
fof(f4816,plain,
! [X0] :
( ~ hBOOL(c_in(hAPP(v_mgt__call,X0),v_G,t_a))
| hBOOL(c_in(X0,v_U,tc_Com_Opname)) ),
inference(superposition,[],[f1552,f1011]) ).
fof(f4822,plain,
! [X0] :
( hBOOL(c_in(X0,v_U,tc_Com_Opname))
| v_G = c_Set_Oinsert(hAPP(v_mgt__call,X0),v_G,t_a) ),
inference(resolution,[],[f4816,f1551]) ).
fof(f5673,plain,
v_G = c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a),
inference(resolution,[],[f4822,f1556]) ).
fof(f5697,plain,
~ hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)),
inference(superposition,[],[f1541,f5673]) ).
fof(f7051,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)) ),
inference(resolution,[],[f1423,f2053]) ).
fof(f7096,plain,
hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)),
inference(forward_subsumption_resolution,[],[f7051,f1405]) ).
fof(f7097,plain,
$false,
inference(forward_subsumption_resolution,[],[f7096,f5697]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV879-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n006.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 12:47:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/0.49 % (3936665)Will run a generic schedule for satisfiability detection.
% 1.52/0.49 % (3936673)dis+10_1_sil=32000:sp=arity:random_seed=2824213802:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.52/0.49 % (3936671)% WARNING: option uhcvi not known.
% 1.52/0.49 % (3936670)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2768051825_2999 on theBenchmark for (2999ds/0Mi)
% 1.52/0.49 % (3936671)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2893315167:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.52/0.49 % (3936672)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3443079709:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.52/0.49 % (3936674)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1801220896:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.52/0.49 % (3936675)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3676809488:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.52/0.49 % (3936676)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1447531018:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.52/0.49 % (3936673)Instruction limit reached!
% 1.52/0.49 % (3936673)------------------------------
% 1.52/0.49 % (3936673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.49 % (3936673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.49 % (3936673)CaDiCaL version: 2.1.3
% 1.52/0.49 % (3936673)Termination reason: Instruction limit
% 1.52/0.49 % (3936673)Termination phase: Saturation
% 1.52/0.49 % (3936673)Time elapsed: 0.034 s
% 1.52/0.49 % (3936673)Peak memory usage: 13 MB
% 1.52/0.49 % (3936673)Instructions burned: 104 (million)
% 1.52/0.49 % (3936684)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4211184700:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.52/0.49 % (3936674)Instruction limit reached!
% 1.52/0.49 % (3936674)------------------------------
% 1.52/0.49 % (3936674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.49 % (3936674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.49 % (3936674)CaDiCaL version: 2.1.3
% 1.52/0.49 % (3936674)Termination reason: Instruction limit
% 1.52/0.49 % (3936674)Termination phase: Saturation
% 1.52/0.49 % (3936674)Time elapsed: 0.070 s
% 1.52/0.49 % (3936674)Peak memory usage: 13 MB
% 1.52/0.49 % (3936674)Instructions burned: 116 (million)
% 1.52/0.49 % (3936675)Instruction limit reached!
% 1.52/0.49 % (3936675)------------------------------
% 1.52/0.49 % (3936675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.49 % (3936675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.49 % (3936675)CaDiCaL version: 2.1.3
% 1.52/0.49 % (3936675)Termination reason: Instruction limit
% 1.52/0.49 % (3936675)Termination phase: Saturation
% 1.52/0.49 % (3936675)Time elapsed: 0.080 s
% 1.52/0.49 % (3936675)Peak memory usage: 14 MB
% 1.52/0.49 % (3936675)Instructions burned: 131 (million)
% 1.52/0.49 % (3936686)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3965621727:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.52/0.49 % (3936676)Instruction limit reached!
% 1.52/0.49 % (3936676)------------------------------
% 1.52/0.49 % (3936676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.49 % (3936676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.49 % (3936676)CaDiCaL version: 2.1.3
% 1.52/0.49 % (3936676)Termination reason: Instruction limit
% 1.52/0.49 % (3936676)Termination phase: Saturation
% 1.52/0.49 % (3936676)Time elapsed: 0.099 s
% 1.52/0.49 % (3936676)Peak memory usage: 14 MB
% 1.52/0.49 % (3936676)Instructions burned: 159 (million)
% 1.52/0.49 % (3936687)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=143128101:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.52/0.49 % (3936689)ott-21_1_sil=16000:fs=off:random_seed=4006506469:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.52/0.49 % TRYING [1]
% 1.52/0.49 % TRYING [2]
% 1.52/0.49 % (3936686)Instruction limit reached!
% 1.52/0.49 % (3936686)------------------------------
% 1.52/0.49 % (3936686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.49 % (3936686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.49 % (3936686)CaDiCaL version: 2.1.3
% 1.52/0.49 % (3936686)Termination reason: Instruction limit
% 1.52/0.49 % (3936686)Termination phase: Saturation
% 1.52/0.49 % (3936686)Time elapsed: 0.077 s
% 1.52/0.49 % (3936686)Peak memory usage: 13 MB
% 1.52/0.49 % (3936686)Instructions burned: 132 (million)
% 1.52/0.49 % (3936671) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3936665-3936671"...
% 1.52/0.49 % (3936692)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1688070364:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.52/0.49 % (3936671)...printing done.
% 1.52/0.49 % (3936671)Refutation found. Thanks to Tanya!
% 1.52/0.49 % SZS status Unsatisfiable for theBenchmark
% 1.52/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.49 % (3936671)------------------------------
% 1.52/0.49 % (3936671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.49 % (3936671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.49 % (3936671)CaDiCaL version: 2.1.3
% 1.52/0.49 % (3936671)Termination reason: Refutation
% 1.52/0.49 % (3936671)Time elapsed: 0.189 s
% 1.52/0.49 % (3936671)Peak memory usage: 15 MB
% 1.52/0.49 % (3936671)Instructions burned: 288 (million)
% 1.52/0.49 % (3936665)Success in time 0.261 s
% 1.52/0.49 % Vampire exiting
%------------------------------------------------------------------------------