%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW290+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 01:30:02 PM UTC 2026
% Result : Theorem 10.43s 2.17s
% Output : Refutation 10.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 23 unt; 0 def)
% Number of atoms : 99 ( 68 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 91 ( 37 ~; 35 |; 10 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( class_Rings_Oidom(X2)
=> ( c_Polynomial_Osmult(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> ( X1 = c_Groups_Ozero__class_Ozero(X2)
| X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_smult__eq__0__iff) ).
fof(f8,axiom,
! [X0,X1,X2] :
( class_Groups_Ozero(X2)
=> ( c_Polynomial_OpCons(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> ( X1 = c_Groups_Ozero__class_Ozero(X2)
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons__eq__0__iff) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),c_Polynomial_Osmult(X3,X1,X0)) = c_Polynomial_Osmult(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__smult__right) ).
fof(f50,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),c_Polynomial_OpCons(X3,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X3,c_Groups_Ozero__class_Ozero(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__pCons__right) ).
fof(f76,axiom,
! [X0,X1] :
( class_Groups_Ocomm__monoid__add(X1)
=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__poly__code_I2_J) ).
fof(f1119,axiom,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocomm__monoid__add) ).
fof(f1121,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1141,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(f1143,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(f1205,conjecture,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1206,negated_conjecture,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
inference(negated_conjecture,[status(cth)],[f1205]) ).
fof(f1209,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
inference(flattening,[],[f1206]) ).
fof(f1215,plain,
! [X0,X1,X2] :
( ( c_Polynomial_Osmult(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> ( X1 = c_Groups_Ozero__class_Ozero(X2)
| X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) )
| ~ class_Rings_Oidom(X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f1217,plain,
! [X0,X1,X2] :
( ( c_Polynomial_OpCons(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> ( X1 = c_Groups_Ozero__class_Ozero(X2)
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) )
| ~ class_Groups_Ozero(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f1218,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),c_Polynomial_Osmult(X3,X1,X0)) = c_Polynomial_Osmult(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f1275,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),c_Polynomial_OpCons(X3,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X3,c_Groups_Ozero__class_Ozero(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f50]) ).
fof(f1302,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X0
| ~ class_Groups_Ocomm__monoid__add(X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f2452,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_Osmult(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ( c_Groups_Ozero__class_Ozero(X2) != X1
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0 ) )
& ( X1 = c_Groups_Ozero__class_Ozero(X2)
| X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_Osmult(X2,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) )
| ~ class_Rings_Oidom(X2) ),
inference(nnf_transformation,[],[f1215]) ).
fof(f2453,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_Osmult(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ( c_Groups_Ozero__class_Ozero(X2) != X1
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0 ) )
& ( X1 = c_Groups_Ozero__class_Ozero(X2)
| X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_Osmult(X2,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) )
| ~ class_Rings_Oidom(X2) ),
inference(flattening,[],[f2452]) ).
fof(f2454,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_OpCons(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(X2) != X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0 )
& ( ( X1 = c_Groups_Ozero__class_Ozero(X2)
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) )
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_OpCons(X2,X1,X0) ) )
| ~ class_Groups_Ozero(X2) ),
inference(nnf_transformation,[],[f1217]) ).
fof(f2455,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_OpCons(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(X2) != X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0 )
& ( ( X1 = c_Groups_Ozero__class_Ozero(X2)
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) )
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_OpCons(X2,X1,X0) ) )
| ~ class_Groups_Ozero(X2) ),
inference(flattening,[],[f2454]) ).
fof(f2812,plain,
! [X2,X0,X1] :
( c_Polynomial_Osmult(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(X2) != X1
| ~ class_Rings_Oidom(X2) ),
inference(cnf_transformation,[],[f2453]) ).
fof(f2816,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,X1,X0)
| c_Groups_Ozero__class_Ozero(X2) != X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0
| ~ class_Groups_Ozero(X2) ),
inference(cnf_transformation,[],[f2455]) ).
fof(f2817,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),c_Polynomial_Osmult(X3,X1,X0)) = c_Polynomial_Osmult(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X0)) ),
inference(cnf_transformation,[],[f1218]) ).
fof(f2872,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),c_Polynomial_OpCons(X3,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X3,c_Groups_Ozero__class_Ozero(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X0))) ),
inference(cnf_transformation,[],[f1275]) ).
fof(f2903,plain,
! [X0,X1] :
( ~ class_Groups_Ocomm__monoid__add(X1)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X0 ),
inference(cnf_transformation,[],[f1302]) ).
fof(f4386,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1119]) ).
fof(f4388,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1121]) ).
fof(f4408,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1141]) ).
fof(f4410,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1143]) ).
fof(f4472,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
inference(cnf_transformation,[],[f1209]) ).
fof(f4618,plain,
! [X2,X0] :
( ~ class_Rings_Oidom(X2)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,c_Groups_Ozero__class_Ozero(X2),X0) ),
inference(equality_resolution,[],[f2812]) ).
fof(f4620,plain,
! [X2,X0] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,c_Groups_Ozero__class_Ozero(X2),X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0
| ~ class_Groups_Ozero(X2) ),
inference(equality_resolution,[],[f2816]) ).
fof(f4621,plain,
! [X2] :
( ~ class_Groups_Ozero(X2)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) ),
inference(equality_resolution,[],[f4620]) ).
fof(f4950,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X0),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X2))),
inference(resolution,[],[f4388,f2872]) ).
fof(f4964,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X0),
inference(resolution,[],[f4618,f4410]) ).
fof(f4996,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(resolution,[],[f4621,f4408]) ).
fof(f4998,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X2)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X2)),
inference(resolution,[],[f2817,f4388]) ).
fof(f5007,plain,
! [X0,X1] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1)),
inference(superposition,[],[f4964,f4998]) ).
fof(f5008,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(forward_demodulation,[],[f5007,f4964]) ).
fof(f5104,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X0),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
inference(superposition,[],[f4950,f5008]) ).
fof(f5108,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(forward_demodulation,[],[f5104,f4996]) ).
fof(f5178,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = X0,
inference(resolution,[],[f2903,f4386]) ).
fof(f5323,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(superposition,[],[f4472,f5108]) ).
fof(f5338,plain,
$false,
inference(forward_subsumption_resolution,[],[f5323,f5178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW290+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n018.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 13:32:40 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.43/2.17 % (3385469)Detected formulas, will run a generic FOF schedule.
% 10.43/2.17 % (3385477)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=149980409:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.43/2.17 % (3385477)Refutation not found, incomplete strategy
% 10.43/2.17 % (3385477)------------------------------
% 10.43/2.17 % (3385477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385477)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385477)Termination reason: Refutation not found, incomplete strategy
% 10.43/2.17 % (3385477)Time elapsed: 0.003 s
% 10.43/2.17 % (3385477)Peak memory usage: 89 MB
% 10.43/2.17 % (3385477)Instructions burned: 6 (million)
% 10.43/2.17 % (3385474)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=412971880:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.43/2.17 % (3385476)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=314023969:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.43/2.17 % (3385475)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=371738862:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.43/2.17 % (3385480)dis-21_1_sil=8000:lcm=predicate:random_seed=118005425:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.43/2.17 % (3385479)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2077414863:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.43/2.17 % (3385478)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3043385105:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.43/2.17 % (3385480)Instruction limit reached!
% 10.43/2.17 % (3385480)------------------------------
% 10.43/2.17 % (3385480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385480)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385480)Termination reason: Instruction limit
% 10.43/2.17 % (3385480)Termination phase: Saturation
% 10.43/2.17 % (3385480)Time elapsed: 0.068 s
% 10.43/2.17 % (3385480)Peak memory usage: 91 MB
% 10.43/2.17 % (3385480)Instructions burned: 130 (million)
% 10.43/2.17 % (3385478)Instruction limit reached!
% 10.43/2.17 % (3385478)------------------------------
% 10.43/2.17 % (3385478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385478)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385478)Termination reason: Instruction limit
% 10.43/2.17 % (3385478)Termination phase: Saturation
% 10.43/2.17 % (3385478)Time elapsed: 0.071 s
% 10.43/2.17 % (3385478)Peak memory usage: 89 MB
% 10.43/2.17 % (3385478)Instructions burned: 119 (million)
% 10.43/2.17 % (3385479)Instruction limit reached!
% 10.43/2.17 % (3385479)------------------------------
% 10.43/2.17 % (3385479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385479)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385479)Termination reason: Instruction limit
% 10.43/2.17 % (3385479)Termination phase: Saturation
% 10.43/2.17 % (3385479)Time elapsed: 0.079 s
% 10.43/2.17 % (3385479)Peak memory usage: 91 MB
% 10.43/2.17 % (3385479)Instructions burned: 140 (million)
% 10.43/2.17 % (3385477)------------------------------
% 10.43/2.17 % (3385477)------------------------------
% 10.43/2.17 % (3385489)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1875063134:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.43/2.17 % (3385488)lrs+10_1_sil=8000:sp=occurrence:random_seed=3488670348:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.43/2.17 % (3385491)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2534819741:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.43/2.17 % (3385490)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1858659403:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.43/2.17 % (3385491)Instruction limit reached!
% 10.43/2.17 % (3385491)------------------------------
% 10.43/2.17 % (3385491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385491)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385491)Termination reason: Instruction limit
% 10.43/2.17 % (3385491)Termination phase: Saturation
% 10.43/2.17 % (3385491)Time elapsed: 0.065 s
% 10.43/2.17 % (3385491)Peak memory usage: 92 MB
% 10.43/2.17 % (3385491)Instructions burned: 251 (million)
% 10.43/2.17 % (3385489)Instruction limit reached!
% 10.43/2.17 % (3385489)------------------------------
% 10.43/2.17 % (3385489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385489)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385489)Termination reason: Instruction limit
% 10.43/2.17 % (3385489)Termination phase: Saturation
% 10.43/2.17 % (3385489)Time elapsed: 0.080 s
% 10.43/2.17 % (3385489)Peak memory usage: 89 MB
% 10.43/2.17 % (3385489)Instructions burned: 158 (million)
% 10.43/2.17 % (3385490)Instruction limit reached!
% 10.43/2.17 % (3385490)------------------------------
% 10.43/2.17 % (3385490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385490)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385490)Termination reason: Instruction limit
% 10.43/2.17 % (3385490)Termination phase: Saturation
% 10.43/2.17 % (3385490)Time elapsed: 0.154 s
% 10.43/2.17 % (3385490)Peak memory usage: 90 MB
% 10.43/2.17 % (3385490)Instructions burned: 325 (million)
% 10.43/2.17 % (3385488)Instruction limit reached!
% 10.43/2.17 % (3385488)------------------------------
% 10.43/2.17 % (3385488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385488)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385488)Termination reason: Instruction limit
% 10.43/2.17 % (3385488)Termination phase: Saturation
% 10.43/2.17 % (3385488)Time elapsed: 0.183 s
% 10.43/2.17 % (3385488)Peak memory usage: 92 MB
% 10.43/2.17 % (3385488)Instructions burned: 286 (million)
% 10.43/2.17 % (3385496)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1744729123:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.43/2.17 % (3385496)Refutation not found, incomplete strategy
% 10.43/2.17 % (3385496)------------------------------
% 10.43/2.17 % (3385496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385496)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385496)Termination reason: Refutation not found, incomplete strategy
% 10.43/2.17 % (3385496)Time elapsed: 0.022 s
% 10.43/2.17 % (3385496)Peak memory usage: 91 MB
% 10.43/2.17 % (3385496)Instructions burned: 74 (million)
% 10.43/2.17 % (3385497)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=86482828:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.43/2.17 % (3385500)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=368112908:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.43/2.17 % (3385498)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3101103574:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 10.43/2.17 % (3385496)------------------------------
% 10.43/2.17 % (3385496)------------------------------
% 10.43/2.17 % (3385500)Refutation not found, incomplete strategy
% 10.43/2.17 % (3385500)------------------------------
% 10.43/2.17 % (3385500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385500)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385500)Termination reason: Refutation not found, incomplete strategy
% 10.43/2.17 % (3385500)Time elapsed: 0.059 s
% 10.43/2.17 % (3385500)Peak memory usage: 90 MB
% 10.43/2.17 % (3385500)Instructions burned: 119 (million)
% 10.43/2.17 % (3385498)Instruction limit reached!
% 10.43/2.17 % (3385498)------------------------------
% 10.43/2.17 % (3385498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385498)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385498)Termination reason: Instruction limit
% 10.43/2.17 % (3385498)Termination phase: Saturation
% 10.43/2.17 % (3385498)Time elapsed: 0.060 s
% 10.43/2.17 % (3385498)Peak memory usage: 90 MB
% 10.43/2.17 % (3385498)Instructions burned: 113 (million)
% 10.43/2.17 % (3385504)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1208818206:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.43/2.17 % (3385504)Instruction limit reached!
% 10.43/2.17 % (3385504)------------------------------
% 10.43/2.17 % (3385504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385504)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385504)Termination reason: Instruction limit
% 10.43/2.17 % (3385504)Termination phase: Saturation
% 10.43/2.17 % (3385504)Time elapsed: 0.030 s
% 10.43/2.17 % (3385504)Peak memory usage: 89 MB
% 10.43/2.17 % (3385504)Instructions burned: 117 (million)
% 10.43/2.17 % (3385505)lrs+10_1_sil=8000:sp=occurrence:random_seed=4259685761:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.43/2.17 % (3385500)------------------------------
% 10.43/2.17 % (3385500)------------------------------
% 10.43/2.17 % (3385507)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2886257213:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.43/2.17 % (3385507)Refutation not found, incomplete strategy
% 10.43/2.17 % (3385507)------------------------------
% 10.43/2.17 % (3385507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385507)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385507)Termination reason: Refutation not found, incomplete strategy
% 10.43/2.17 % (3385507)Time elapsed: 0.037 s
% 10.43/2.17 % (3385507)Peak memory usage: 92 MB
% 10.43/2.17 % (3385507)Instructions burned: 127 (million)
% 10.43/2.17 % (3385475)First to succeed.
% 10.43/2.17 % (3385475)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3385469"
% 10.43/2.17 % (3385510)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2357462376:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.43/2.17 % (3385507)------------------------------
% 10.43/2.17 % (3385507)------------------------------
% 10.43/2.17 % (3385512)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3176849899:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.43/2.17 % (3385512)Instruction limit reached!
% 10.43/2.17 % (3385512)------------------------------
% 10.43/2.17 % (3385512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.17 % (3385512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.17 % (3385512)CaDiCaL version: 2.1.3
% 10.43/2.17 % (3385512)Termination reason: Instruction limit
% 10.43/2.17 % (3385512)Termination phase: Saturation
% 10.43/2.17 % (3385512)Time elapsed: 0.040 s
% 10.43/2.17 % (3385512)Peak memory usage: 92 MB
% 10.43/2.17 % (3385512)Instructions burned: 135 (million)
% 10.43/2.17 % (3385475)Refutation found. Thanks to Tanya!
% 10.43/2.17 % SZS status Theorem for theBenchmark
% 10.43/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 10.87/2.36 % (3385475)------------------------------
% 10.87/2.36 % (3385475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.87/2.36 % (3385475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/2.36 % (3385475)CaDiCaL version: 2.1.3
% 10.87/2.36 % (3385475)Termination reason: Refutation
% 10.87/2.36 % (3385475)Time elapsed: 1.007 s
% 10.87/2.36 % (3385475)Peak memory usage: 147 MB
% 10.87/2.36 % (3385475)Instructions burned: 1608 (million)
% 10.87/2.36 % (3385475)------------------------------
% 10.87/2.36 % (3385475)------------------------------
% 10.87/2.36 % (3385469)Success in time 1.5 s
% 10.87/2.36 % Vampire exiting
%------------------------------------------------------------------------------