%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT007-1 : 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 : n018.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 12:37:22 PM UTC 2026
% Result : Unsatisfiable 0.88s 0.60s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f667,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X0,X1),c_HOL_Ominus__class_Ominus(X2,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool))))
| ~ hBOOL(c_Order__Relation_Olinear__order__on(X0,X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_strict__linear__order__on__diff__Id_0) ).
fof(f668,negated_conjecture,
hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f670,negated_conjecture,
! [X0] : ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1065,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X0,X1),c_HOL_Ominus__class_Ominus(X2,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool))))
| hBOOL(c_Order__Relation_Olinear__order__on(X0,X2,X1)) ),
inference(consistent_polarity_flipping,[],[f667]) ).
fof(f1066,plain,
~ hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
inference(consistent_polarity_flipping,[],[f668]) ).
fof(f1068,plain,
! [X0] : hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X0)),
inference(consistent_polarity_flipping,[],[f670]) ).
fof(f4569,plain,
! [X0] : hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),X0,tc_Arrow__Order__Mirabelle_Oalt)),
inference(resolution,[],[f1065,f1068]) ).
fof(f4601,plain,
$false,
inference(backward_subsumption_resolution,[],[f1066,f4569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT007-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n018.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:31:09 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
% 0.88/0.60 % (2850458)Will run a generic schedule for satisfiability detection.
% 0.88/0.60 % (2850467)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2666058839:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.88/0.60 % (2850464)% WARNING: option uhcvi not known.
% 0.88/0.60 % (2850463)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=529682049_2999 on theBenchmark for (2999ds/0Mi)
% 0.88/0.60 % (2850464)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1301087299:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.88/0.60 % (2850465)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1981338219:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.88/0.60 % (2850466)dis+10_1_sil=32000:sp=arity:random_seed=1735287823:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.88/0.60 % (2850468)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=650261965:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.88/0.60 % (2850469)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2658737106:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.88/0.60 % (2850467)Instruction limit reached!
% 0.88/0.60 % (2850467)------------------------------
% 0.88/0.60 % (2850467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.60 % (2850467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.60 % (2850467)CaDiCaL version: 2.1.3
% 0.88/0.60 % (2850467)Termination reason: Instruction limit
% 0.88/0.60 % (2850467)Termination phase: Saturation
% 0.88/0.60 % (2850467)Time elapsed: 0.041 s
% 0.88/0.60 % (2850467)Peak memory usage: 13 MB
% 0.88/0.60 % (2850467)Instructions burned: 117 (million)
% 0.88/0.60 % (2850477)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1969721834:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.88/0.60 % (2850466)Instruction limit reached!
% 0.88/0.60 % (2850466)------------------------------
% 0.88/0.60 % (2850466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.60 % (2850466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.60 % (2850466)CaDiCaL version: 2.1.3
% 0.88/0.60 % (2850466)Termination reason: Instruction limit
% 0.88/0.60 % (2850466)Termination phase: Saturation
% 0.88/0.60 % (2850466)Time elapsed: 0.066 s
% 0.88/0.60 % (2850466)Peak memory usage: 12 MB
% 0.88/0.60 % (2850466)Instructions burned: 103 (million)
% 0.88/0.60 % (2850469)Instruction limit reached!
% 0.88/0.60 % (2850469)------------------------------
% 0.88/0.60 % (2850469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.60 % (2850469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.60 % (2850469)CaDiCaL version: 2.1.3
% 0.88/0.60 % (2850469)Termination reason: Instruction limit
% 0.88/0.60 % (2850469)Termination phase: Saturation
% 0.88/0.60 % (2850469)Time elapsed: 0.083 s
% 0.88/0.60 % (2850469)Peak memory usage: 13 MB
% 0.88/0.60 % (2850469)Instructions burned: 161 (million)
% 0.88/0.60 % (2850479)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2538884500:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.88/0.60 % (2850468)Instruction limit reached!
% 0.88/0.60 % (2850468)------------------------------
% 0.88/0.60 % (2850468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.60 % (2850468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.60 % (2850468)CaDiCaL version: 2.1.3
% 0.88/0.60 % (2850468)Termination reason: Instruction limit
% 0.88/0.60 % (2850468)Termination phase: Saturation
% 0.88/0.60 % (2850468)Time elapsed: 0.086 s
% 0.88/0.60 % (2850468)Peak memory usage: 13 MB
% 0.88/0.60 % (2850468)Instructions burned: 132 (million)
% 0.88/0.60 % (2850480)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=3410898360:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.88/0.60 % (2850482)ott-21_1_sil=16000:fs=off:random_seed=405169628:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.88/0.60 % TRYING [1]
% 0.88/0.60 % TRYING [2]
% 0.88/0.60 % (2850464) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2850458-2850464"...
% 0.88/0.60 % (2850464)...printing done.
% 0.88/0.60 % (2850464)Refutation found. Thanks to Tanya!
% 0.88/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.88/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.88/0.60 % (2850464)------------------------------
% 0.88/0.60 % (2850464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.60 % (2850464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.60 % (2850464)CaDiCaL version: 2.1.3
% 0.88/0.60 % (2850464)Termination reason: Refutation
% 0.88/0.60 % (2850464)Time elapsed: 0.126 s
% 0.88/0.60 % (2850464)Peak memory usage: 14 MB
% 0.88/0.60 % (2850464)Instructions burned: 188 (million)
% 0.88/0.60 % (2850458)Success in time 0.182 s
% 0.88/0.60 % Vampire exiting
%------------------------------------------------------------------------------