%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT028-1 : 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 : n004.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 0.17s 0.54s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 11 unt; 1 def)
% Number of atoms : 49 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 43 ( 0 sgn 43 !; 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(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,axiom,
c_in(v_R____,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_CHAINED_0) ).
fof(f574,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(f1001,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(f1003,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(f1063,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| ~ c_in(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f570]) ).
fof(f1064,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| c_in(X1,X0,X2) ),
inference(consistent_polarity_flipping,[],[f571]) ).
fof(f1066,plain,
~ c_in(v_R____,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(f1067,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,[],[f574]) ).
fof(f1091,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,[],[f1001]) ).
fof(f1101,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,X0,X3)
| c_in(X1,X0,X2) ),
inference(resolution,[],[f1064,f1063]) ).
fof(f1114,plain,
! [X0,X1] :
( c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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)) ),
inference(resolution,[],[f1101,f1067]) ).
fof(f1127,plain,
! [X2,X0,X1] :
( c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1)
| c_in(X0,c_Arrow__Order__Mirabelle_OLin,X2) ),
inference(resolution,[],[f1114,f1101]) ).
fof(f1764,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(f1765,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,[],[f1764]) ).
fof(f1768,plain,
( $false
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[],[f1066,f1765]) ).
fof(f1776,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1768]) ).
fof(f2151,plain,
! [X0,X1] :
( v_a = v_b
| c_in(c_Arrow__Order__Mirabelle_Omktop(X0,v_b),c_Arrow__Order__Mirabelle_OLin,X1) ),
inference(resolution,[],[f1091,f1127]) ).
fof(f2159,plain,
! [X0,X1] : c_in(c_Arrow__Order__Mirabelle_Omktop(X0,v_b),c_Arrow__Order__Mirabelle_OLin,X1),
inference(forward_subsumption_resolution,[],[f2151,f566]) ).
fof(f2872,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,[],[f1003,f2159]) ).
fof(f2879,plain,
spl0_2,
inference(avatar_split_clause,[],[f2872,f1764]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f1776]) ).
cnf(s18,plain,
spl0_2,
inference(sat_conversion,[],[f2879]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s5,s18]) ).
fof(f2880,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT028-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 23:30:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.17/0.54 % (4002257)Will run a generic schedule for satisfiability detection.
% 0.17/0.54 % (4002268)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2889675785:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.54 % (4002263)% WARNING: option uhcvi not known.
% 0.17/0.54 % (4002264)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2141391569:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.54 % (4002262)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1256583654_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.54 % (4002263)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1059752238:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.54 % (4002265)dis+10_1_sil=32000:sp=arity:random_seed=2119158972:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.54 % (4002266)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=892202176:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.54 % (4002267)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2050493673:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.54 % (4002268)Instruction limit reached!
% 0.17/0.54 % (4002268)------------------------------
% 0.17/0.54 % (4002268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54 % (4002268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54 % (4002268)CaDiCaL version: 2.1.3
% 0.17/0.54 % (4002268)Termination reason: Instruction limit
% 0.17/0.54 % (4002268)Termination phase: Saturation
% 0.17/0.54 % (4002268)Time elapsed: 0.059 s
% 0.17/0.54 % (4002268)Peak memory usage: 14 MB
% 0.17/0.54 % (4002268)Instructions burned: 161 (million)
% 0.17/0.54 % (4002276)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3847474979:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.54 % (4002265)Instruction limit reached!
% 0.17/0.54 % (4002265)------------------------------
% 0.17/0.54 % (4002265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54 % (4002265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54 % (4002265)CaDiCaL version: 2.1.3
% 0.17/0.54 % (4002265)Termination reason: Instruction limit
% 0.17/0.54 % (4002265)Termination phase: Saturation
% 0.17/0.54 % (4002265)Time elapsed: 0.068 s
% 0.17/0.54 % (4002265)Peak memory usage: 13 MB
% 0.17/0.54 % (4002265)Instructions burned: 103 (million)
% 0.17/0.54 % (4002263) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4002257-4002263"...
% 0.17/0.54 % (4002263)...printing done.
% 0.17/0.54 % (4002266)Instruction limit reached!
% 0.17/0.54 % (4002266)------------------------------
% 0.17/0.54 % (4002266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54 % (4002266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54 % (4002266)CaDiCaL version: 2.1.3
% 0.17/0.54 % (4002266)Termination reason: Instruction limit
% 0.17/0.54 % (4002266)Termination phase: Saturation
% 0.17/0.54 % (4002266)Time elapsed: 0.075 s
% 0.17/0.54 % (4002266)Peak memory usage: 13 MB
% 0.17/0.54 % (4002266)Instructions burned: 117 (million)
% 0.17/0.54 % (4002263)Refutation found. Thanks to Tanya!
% 0.17/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.54 % (4002263)------------------------------
% 0.17/0.54 % (4002263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54 % (4002263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54 % (4002263)CaDiCaL version: 2.1.3
% 0.17/0.54 % (4002263)Termination reason: Refutation
% 0.17/0.54 % (4002263)Time elapsed: 0.073 s
% 0.17/0.54 % (4002263)Peak memory usage: 14 MB
% 0.17/0.54 % (4002263)Instructions burned: 107 (million)
% 0.17/0.54 % (4002257)Success in time 0.124 s
% 0.17/0.54 % Vampire exiting
%------------------------------------------------------------------------------