%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW256+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:39:42 PM UTC 2026
% Result : Theorem 3.37s 0.84s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 73 ( 48 unt; 10 def)
% Number of atoms : 107 ( 68 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 71 ( 37 ~; 27 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 85 ( 81 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,axiom,
! [X0,X1,X2] :
( class_Rings_Oring__1__no__zero__divisors(X2)
=> ( X1 != c_Groups_Ozero__class_Ozero(X2)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_field__power__not__zero) ).
fof(f211,axiom,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).
fof(f298,axiom,
! [X0] :
( class_Rings_Ozero__neq__one(X0)
=> c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__neq__zero) ).
fof(f301,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(f987,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__triv__left) ).
fof(f988,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> ( c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
=> X0 = c_Groups_Ozero__class_Ozero(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__0__left) ).
fof(f1187,axiom,
class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors) ).
fof(f1197,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1202,axiom,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ozero__neq__one) ).
fof(f1284,conjecture,
? [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1285,negated_conjecture,
~ ? [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(negated_conjecture,[status(cth)],[f1284]) ).
fof(f1314,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f1315,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
inference(flattening,[],[f1314]) ).
fof(f1603,plain,
! [X0] :
( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
| ~ class_Rings_Ozero__neq__one(X0) ),
inference(ennf_transformation,[],[f298]) ).
fof(f1607,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f301]) ).
fof(f2361,plain,
! [X0,X1,X2] :
( c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f987]) ).
fof(f2362,plain,
! [X0,X1] :
( X0 = c_Groups_Ozero__class_Ozero(X1)
| ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f988]) ).
fof(f2363,plain,
! [X0,X1] :
( X0 = c_Groups_Ozero__class_Ozero(X1)
| ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(flattening,[],[f2362]) ).
fof(f2445,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(ennf_transformation,[],[f1285]) ).
fof(f2862,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Oring__1__no__zero__divisors(X2) ),
inference(cnf_transformation,[],[f1315]) ).
fof(f3080,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
inference(cnf_transformation,[],[f211]) ).
fof(f3208,plain,
! [X0] :
( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
| ~ class_Rings_Ozero__neq__one(X0) ),
inference(cnf_transformation,[],[f1603]) ).
fof(f3212,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X1)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0 ),
inference(cnf_transformation,[],[f1607]) ).
fof(f4192,plain,
! [X2,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X2)
| c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) ),
inference(cnf_transformation,[],[f2361]) ).
fof(f4193,plain,
! [X0,X1] :
( ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| c_Groups_Ozero__class_Ozero(X1) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(cnf_transformation,[],[f2363]) ).
fof(f4392,plain,
class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1187]) ).
fof(f4402,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1197]) ).
fof(f4407,plain,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1202]) ).
fof(f4489,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(cnf_transformation,[],[f2445]) ).
fof(f4637,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(definition_unfolding,[],[f4489,f3080,f3080]) ).
fof(f4834,definition,
sF37 = c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f4835,plain,
c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = sF37,
inference(reorient_equations,[],[f4834]) ).
fof(f4836,definition,
! [X0] : sF38(X0) = hAPP(sF37,X0),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f4837,plain,
! [X0] : hAPP(sF37,X0) = sF38(X0),
inference(reorient_equations,[],[f4836]) ).
fof(f4838,definition,
sF39 = c_Power_Opower__class_Opower(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
fof(f4839,plain,
c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = sF39,
inference(reorient_equations,[],[f4838]) ).
fof(f4840,definition,
! [X0] : sF40(X0) = hAPP(sF39,X0),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
fof(f4841,plain,
! [X0] : hAPP(sF39,X0) = sF40(X0),
inference(reorient_equations,[],[f4840]) ).
fof(f4842,definition,
sF41 = c_Groups_Oone__class_Oone(tc_Nat_Onat),
introduced(definition,[new_symbols(definition,[sF41])],[function_definition]) ).
fof(f4843,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = sF41,
inference(reorient_equations,[],[f4842]) ).
fof(f4844,definition,
sF42 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
introduced(definition,[new_symbols(definition,[sF42])],[function_definition]) ).
fof(f4845,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF42,
inference(reorient_equations,[],[f4844]) ).
fof(f4846,definition,
sF43 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF41,sF42),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
fof(f4847,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF41,sF42) = sF43,
inference(reorient_equations,[],[f4846]) ).
fof(f4848,definition,
sF44 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,sF43),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f4849,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,sF43) = sF44,
inference(reorient_equations,[],[f4848]) ).
fof(f4850,definition,
! [X0] : sF45(X0) = hAPP(sF40(X0),sF44),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
fof(f4851,plain,
! [X0] : hAPP(sF40(X0),sF44) = sF45(X0),
inference(reorient_equations,[],[f4850]) ).
fof(f4852,definition,
! [X0] : sF46(X0) = hAPP(sF38(X0),sF45(X0)),
introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).
fof(f4853,plain,
! [X0] : hAPP(sF38(X0),sF45(X0)) = sF46(X0),
inference(reorient_equations,[],[f4852]) ).
fof(f4854,plain,
! [X0,X1] : sF46(X0) = sF46(X1),
inference(definition_folding,[],[f4637,f4853,f4851,f4849,f4847,f4845,f4843,f4841,f4839,f4837,f4835,f4853,f4851,f4849,f4847,f4845,f4843,f4841,f4839,f4837,f4835]) ).
fof(f6301,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),X0) = X0,
inference(resolution,[],[f3212,f4402]) ).
fof(f6305,plain,
! [X0] : hAPP(hAPP(sF37,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),X0) = X0,
inference(forward_demodulation,[],[f6301,f4835]) ).
fof(f6306,plain,
! [X0] : hAPP(sF38(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),X0) = X0,
inference(forward_demodulation,[],[f6305,f4837]) ).
fof(f7166,plain,
! [X0,X1] : c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)),
inference(resolution,[],[f4192,f4402]) ).
fof(f7170,plain,
! [X0,X1] : c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X0,hAPP(hAPP(sF37,X0),X1)),
inference(forward_demodulation,[],[f7166,f4835]) ).
fof(f7171,plain,
! [X0,X1] : c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X0,hAPP(sF38(X0),X1)),
inference(forward_demodulation,[],[f7170,f4837]) ).
fof(f7422,plain,
sF46(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
inference(superposition,[],[f4853,f6306]) ).
fof(f7596,plain,
! [X0] : c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X0,sF46(X0)),
inference(superposition,[],[f7171,f4853]) ).
fof(f7603,plain,
! [X0,X1] : c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,sF46(X0)),
inference(superposition,[],[f7596,f4854]) ).
fof(f7619,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF46(X0)
| ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(resolution,[],[f7603,f4193]) ).
fof(f7622,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF46(X0),
inference(forward_subsumption_resolution,[],[f7619,f4402]) ).
fof(f15803,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
inference(superposition,[],[f7622,f7422]) ).
fof(f15878,plain,
( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))
| ~ class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
inference(superposition,[],[f3208,f15803]) ).
fof(f15923,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
inference(forward_subsumption_resolution,[],[f15878,f4407]) ).
fof(f16668,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(hAPP(sF39,X0),X1)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| ~ class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
inference(superposition,[],[f2862,f4839]) ).
fof(f16672,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(hAPP(sF39,X0),X1)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_subsumption_resolution,[],[f16668,f4392]) ).
fof(f16674,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(sF40(X0),X1)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f16672,f4841]) ).
fof(f16675,plain,
! [X0,X1] :
( sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) != hAPP(sF40(X0),X1)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f16674,f15803]) ).
fof(f16676,plain,
! [X0,X1] :
( sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) != hAPP(sF40(X0),X1)
| sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = X0 ),
inference(forward_demodulation,[],[f16675,f15803]) ).
fof(f22513,plain,
! [X0] :
( sF45(X0) != sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))
| sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = X0 ),
inference(superposition,[],[f16676,f4851]) ).
fof(f22625,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = sF45(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),
inference(equality_resolution,[],[f22513]) ).
fof(f22626,plain,
$false,
inference(forward_subsumption_resolution,[],[f22625,f15923]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW256+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n015.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 13:28:32 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.37/0.83 % (2624759)Will run a generic schedule for satisfiability detection.
% 3.37/0.83 % (2624768)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2764022344:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.37/0.83 % (2624765)% WARNING: option uhcvi not known.
% 3.37/0.83 % (2624764)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3825413432_2999 on theBenchmark for (2999ds/0Mi)
% 3.37/0.83 % (2624765)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1768526980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.37/0.83 % (2624766)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=468241359:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.37/0.83 % (2624767)dis+10_1_sil=32000:sp=arity:random_seed=1328152270:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.37/0.83 % (2624769)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2352034321:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.37/0.83 % (2624770)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=845900899:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.37/0.83 % (2624768)Instruction limit reached!
% 3.37/0.83 % (2624768)------------------------------
% 3.37/0.83 % (2624768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624768)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624768)Termination reason: Instruction limit
% 3.37/0.83 % (2624768)Termination phase: Saturation
% 3.37/0.83 % (2624768)Time elapsed: 0.031 s
% 3.37/0.83 % (2624768)Peak memory usage: 14 MB
% 3.37/0.83 % (2624768)Instructions burned: 117 (million)
% 3.37/0.83 % (2624778)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1900487583:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.37/0.83 % (2624767)Instruction limit reached!
% 3.37/0.83 % (2624767)------------------------------
% 3.37/0.83 % (2624767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624767)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624767)Termination reason: Instruction limit
% 3.37/0.83 % (2624767)Termination phase: Saturation
% 3.37/0.83 % (2624767)Time elapsed: 0.051 s
% 3.37/0.83 % (2624767)Peak memory usage: 14 MB
% 3.37/0.83 % (2624767)Instructions burned: 103 (million)
% 3.37/0.83 % (2624769)Instruction limit reached!
% 3.37/0.83 % (2624769)------------------------------
% 3.37/0.83 % (2624769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624769)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624769)Termination reason: Instruction limit
% 3.37/0.83 % (2624769)Termination phase: Saturation
% 3.37/0.83 % (2624769)Time elapsed: 0.067 s
% 3.37/0.83 % (2624769)Peak memory usage: 14 MB
% 3.37/0.83 % (2624769)Instructions burned: 131 (million)
% 3.37/0.83 % (2624780)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2556997277:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.37/0.83 % (2624781)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=858677867:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.37/0.83 % (2624770)Instruction limit reached!
% 3.37/0.83 % (2624770)------------------------------
% 3.37/0.83 % (2624770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624770)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624770)Termination reason: Instruction limit
% 3.37/0.83 % (2624770)Termination phase: Saturation
% 3.37/0.83 % (2624770)Time elapsed: 0.089 s
% 3.37/0.83 % (2624770)Peak memory usage: 16 MB
% 3.37/0.83 % (2624770)Instructions burned: 159 (million)
% 3.37/0.83 % (2624784)ott-21_1_sil=16000:fs=off:random_seed=1368654334:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.37/0.83 % (2624780)Instruction limit reached!
% 3.37/0.83 % (2624780)------------------------------
% 3.37/0.83 % (2624780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624780)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624780)Termination reason: Instruction limit
% 3.37/0.83 % (2624780)Termination phase: Saturation
% 3.37/0.83 % (2624780)Time elapsed: 0.063 s
% 3.37/0.83 % (2624780)Peak memory usage: 14 MB
% 3.37/0.83 % (2624780)Instructions burned: 132 (million)
% 3.37/0.83 % (2624786)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1053888093:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.37/0.83 % (2624784)Instruction limit reached!
% 3.37/0.83 % (2624784)------------------------------
% 3.37/0.83 % (2624784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624784)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624784)Termination reason: Instruction limit
% 3.37/0.83 % (2624784)Termination phase: Saturation
% 3.37/0.83 % (2624784)Time elapsed: 0.078 s
% 3.37/0.83 % (2624784)Peak memory usage: 14 MB
% 3.37/0.83 % (2624784)Instructions burned: 182 (million)
% 3.37/0.83 % TRYING [1]
% 3.37/0.83 % (2624788)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2130305798:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.37/0.83 % TRYING [2]
% 3.37/0.83 % (2624778)Instruction limit reached!
% 3.37/0.83 % (2624778)------------------------------
% 3.37/0.83 % (2624778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624778)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624778)Termination reason: Instruction limit
% 3.37/0.83 % (2624778)Termination phase: Finite model building constraint generation
% 3.37/0.83 % (2624778)Time elapsed: 0.182 s
% 3.37/0.83 % (2624778)Peak memory usage: 25 MB
% 3.37/0.83 % (2624778)Instructions burned: 720 (million)
% 3.37/0.83 % (2624790)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3560887514:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.37/0.83 % TRYING [1]
% 3.37/0.83 % TRYING [2]
% 3.37/0.83 % (2624786)Instruction limit reached!
% 3.37/0.83 % (2624786)------------------------------
% 3.37/0.83 % (2624786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624786)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624786)Termination reason: Instruction limit
% 3.37/0.83 % (2624786)Termination phase: Saturation
% 3.37/0.83 % (2624786)Time elapsed: 0.284 s
% 3.37/0.83 % (2624786)Peak memory usage: 16 MB
% 3.37/0.83 % (2624786)Instructions burned: 478 (million)
% 3.37/0.83 % (2624792)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1046202702:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.37/0.83 % (2624781)Instruction limit reached!
% 3.37/0.83 % (2624781)------------------------------
% 3.37/0.83 % (2624781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.83 % (2624781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.83 % (2624781)CaDiCaL version: 2.1.3
% 3.37/0.83 % (2624781)Termination reason: Instruction limit
% 3.37/0.83 % (2624781)Termination phase: Saturation
% 3.37/0.83 % (2624781)Time elapsed: 0.401 s
% 3.37/0.83 % (2624781)Peak memory usage: 18 MB
% 3.37/0.83 % (2624781)Instructions burned: 685 (million)
% 3.37/0.83 % (2624790) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2624759-2624790"...
% 3.37/0.83 % (2624790)...printing done.
% 3.37/0.83 % (2624790)Refutation found. Thanks to Tanya!
% 3.37/0.84 % SZS status Theorem for theBenchmark
% 3.37/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/0.84 % (2624790)------------------------------
% 3.37/0.84 % (2624790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.84 % (2624790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.84 % (2624790)CaDiCaL version: 2.1.3
% 3.37/0.84 % (2624790)Termination reason: Refutation
% 3.37/0.84 % (2624790)Time elapsed: 0.267 s
% 3.37/0.84 % (2624790)Peak memory usage: 20 MB
% 3.37/0.84 % (2624790)Instructions burned: 804 (million)
% 3.37/0.84 % (2624759)Success in time 0.583 s
% 3.37/0.84 % Vampire exiting
%------------------------------------------------------------------------------