%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT026-1 : 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 : n013.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 12:37:24 PM UTC 2026
% Result : Unsatisfiable 0.45s 0.56s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 12 unt; 1 def)
% Number of atoms : 50 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f493,axiom,
! [X2,X0,X1] :
( X0 = X1
| X0 = X1
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_4) ).
fof(f495,axiom,
! [X0,X1] :
( c_in(c_Arrow__Order__Mirabelle_Omktop(X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mktop__Lin_0) ).
fof(f498,axiom,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linear__alt_0) ).
fof(f566,axiom,
v_a != v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_0) ).
fof(f570,axiom,
! [X2,X0,X1] :
( c_in(X0,X1,X2)
| ~ hBOOL(hAPP(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f571,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| ~ c_in(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f573,negated_conjecture,
! [X0] :
( ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f930,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X1
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(consistent_polarity_flipping,[],[f493]) ).
fof(f932,plain,
! [X0,X1] :
( ~ c_in(c_Arrow__Order__Mirabelle_Omktop(X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(consistent_polarity_flipping,[],[f495]) ).
fof(f935,plain,
~ c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(consistent_polarity_flipping,[],[f498]) ).
fof(f992,plain,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| hBOOL(hAPP(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f570]) ).
fof(f993,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X0,X1))
| c_in(X1,X0,X2) ),
inference(consistent_polarity_flipping,[],[f571]) ).
fof(f995,plain,
! [X0] :
( c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(consistent_polarity_flipping,[],[f573]) ).
fof(f1016,plain,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f930]) ).
fof(f1023,plain,
! [X0] :
( hBOOL(hAPP(X0,c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(resolution,[],[f992,f995]) ).
fof(f1032,plain,
! [X0,X1] :
( c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1) ),
inference(resolution,[],[f1023,f993]) ).
fof(f1053,plain,
! [X0,X1] :
( c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1)
| hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,X0)) ),
inference(resolution,[],[f1032,f992]) ).
fof(f1464,definition,
( spl0_2
<=> ! [X0] : c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1465,plain,
( ! [X0] : c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1491,plain,
( $false
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[],[f935,f1465]) ).
fof(f1495,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1773,plain,
! [X0] :
( v_a = v_b
| hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_Omktop(X0,v_b))) ),
inference(resolution,[],[f1016,f1053]) ).
fof(f1786,plain,
! [X0] : hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_Omktop(X0,v_b))),
inference(forward_subsumption_resolution,[],[f1773,f566]) ).
fof(f1812,plain,
! [X0,X1] : c_in(c_Arrow__Order__Mirabelle_Omktop(X0,v_b),c_Arrow__Order__Mirabelle_OLin,X1),
inference(resolution,[],[f1786,f993]) ).
fof(f2372,plain,
! [X0] : c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(resolution,[],[f932,f1812]) ).
fof(f2375,plain,
spl0_2,
inference(avatar_split_clause,[],[f2372,f1464]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f1495]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f2375]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s3,s4]) ).
fof(f2376,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT026-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n013.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:29:38 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.45/0.56 % (663516)Will run a generic schedule for satisfiability detection.
% 0.45/0.56 % (663521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2896463812_2999 on theBenchmark for (2999ds/0Mi)
% 0.45/0.56 % (663522)% WARNING: option uhcvi not known.
% 0.45/0.56 % (663522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3109203574:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.45/0.56 % (663524)dis+10_1_sil=32000:sp=arity:random_seed=2301095616:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.45/0.56 % (663523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2725845822:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.45/0.56 % (663525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=575931983:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.45/0.56 % (663526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3926376254:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.45/0.56 % (663527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2532503343:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.45/0.56 % TRYING [1]
% 0.45/0.56 % TRYING [2]
% 0.45/0.56 % (663524)Instruction limit reached!
% 0.45/0.56 % (663524)------------------------------
% 0.45/0.56 % (663524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.56 % (663524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.56 % (663524)CaDiCaL version: 2.1.3
% 0.45/0.56 % (663524)Termination reason: Instruction limit
% 0.45/0.56 % (663524)Termination phase: Saturation
% 0.45/0.56 % (663524)Time elapsed: 0.068 s
% 0.45/0.56 % (663524)Peak memory usage: 12 MB
% 0.45/0.56 % (663524)Instructions burned: 103 (million)
% 0.45/0.56 % (663522) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-663516-663522"...
% 0.45/0.56 % (663522)...printing done.
% 0.45/0.56 % (663525)Instruction limit reached!
% 0.45/0.56 % (663525)------------------------------
% 0.45/0.56 % (663525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.56 % (663525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.56 % (663525)CaDiCaL version: 2.1.3
% 0.45/0.56 % (663525)Termination reason: Instruction limit
% 0.45/0.56 % (663525)Termination phase: Saturation
% 0.45/0.56 % (663525)Time elapsed: 0.073 s
% 0.45/0.56 % (663525)Peak memory usage: 13 MB
% 0.45/0.56 % (663525)Instructions burned: 117 (million)
% 0.45/0.56 % (663522)Refutation found. Thanks to Tanya!
% 0.45/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.45/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.45/0.56 % (663522)------------------------------
% 0.45/0.56 % (663522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.56 % (663522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.56 % (663522)CaDiCaL version: 2.1.3
% 0.45/0.56 % (663522)Termination reason: Refutation
% 0.45/0.56 % (663522)Time elapsed: 0.071 s
% 0.45/0.56 % (663522)Peak memory usage: 14 MB
% 0.45/0.56 % (663522)Instructions burned: 96 (million)
% 0.45/0.56 % (663516)Success in time 0.126 s
% 0.45/0.57 % Vampire exiting
%------------------------------------------------------------------------------