%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW278+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 01:30:00 PM UTC 2026
% Result : Theorem 9.62s 2.12s
% Output : Refutation 10.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 32 unt; 3 def)
% Number of atoms : 50 ( 36 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),v_x____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_h) ).
fof(f126,axiom,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s) ).
fof(f300,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(f301,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__mult) ).
fof(f437,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__smult) ).
fof(f1117,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1118,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1200,conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_x____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1201,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_x____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(negated_conjecture,[status(cth)],[f1200]) ).
fof(f1204,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_x____),
inference(flattening,[],[f1201]) ).
fof(f1618,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f300]) ).
fof(f1619,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f301]) ).
fof(f1770,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(c_Polynomial_Opoly(X3,X1),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f437]) ).
fof(f2717,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),v_x____),
inference(cnf_transformation,[],[f3]) ).
fof(f2892,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(cnf_transformation,[],[f126]) ).
fof(f3138,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X1)
| c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) ),
inference(cnf_transformation,[],[f1618]) ).
fof(f3139,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
inference(cnf_transformation,[],[f1619]) ).
fof(f3329,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
inference(cnf_transformation,[],[f1770]) ).
fof(f4165,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1117]) ).
fof(f4166,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1118]) ).
fof(f4248,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_x____),
inference(cnf_transformation,[],[f1204]) ).
fof(f4607,definition,
sF24 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f4608,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF24,
inference(reorient_equations,[],[f4607]) ).
fof(f4609,definition,
sF25 = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f4610,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____) = sF25,
inference(reorient_equations,[],[f4609]) ).
fof(f4611,definition,
sF26 = hAPP(sF25,v_x____),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f4612,plain,
hAPP(sF25,v_x____) = sF26,
inference(reorient_equations,[],[f4611]) ).
fof(f4613,plain,
sF24 != sF26,
inference(definition_folding,[],[f4248,f4612,f4610,f4608]) ).
fof(f4693,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),X2)),
inference(resolution,[],[f3329,f4166]) ).
fof(f4695,plain,
! [X0] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,v_s____)),v_x____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(superposition,[],[f4693,f2717]) ).
fof(f4703,plain,
! [X0] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,v_s____)),v_x____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),sF24),
inference(forward_demodulation,[],[f4695,f4608]) ).
fof(f4719,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(resolution,[],[f3138,f4165]) ).
fof(f4720,plain,
! [X0] : sF24 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),sF24),
inference(forward_demodulation,[],[f4719,f4608]) ).
fof(f4795,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X2)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),X2)),
inference(resolution,[],[f3139,f4166]) ).
fof(f4796,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X1)),X2) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X2),X1)),X2),
inference(forward_demodulation,[],[f4795,f4693]) ).
fof(f4815,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),v_x____)),sF24) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),v_s____)),v_x____),
inference(superposition,[],[f4703,f4796]) ).
fof(f4818,plain,
! [X0] : sF24 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),v_s____)),v_x____),
inference(forward_demodulation,[],[f4815,f4720]) ).
fof(f4847,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_x____) = sF24,
inference(superposition,[],[f4818,f2892]) ).
fof(f4854,plain,
sF24 = hAPP(sF25,v_x____),
inference(forward_demodulation,[],[f4847,f4610]) ).
fof(f4856,plain,
sF24 = sF26,
inference(forward_demodulation,[],[f4854,f4612]) ).
fof(f4857,plain,
$false,
inference(forward_subsumption_resolution,[],[f4856,f4613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW278+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n013.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 13:28:37 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.62/2.12 % (1177472)Detected formulas, will run a generic FOF schedule.
% 9.62/2.12 % (1177481)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2382689665:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.62/2.12 % (1177478)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=1350743364:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.62/2.12 % (1177479)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=1038971694:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.62/2.12 % (1177477)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=1830585087:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.62/2.12 % (1177480)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3590718533:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.62/2.12 % (1177481)Instruction limit reached!
% 9.62/2.12 % (1177481)------------------------------
% 9.62/2.12 % (1177481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177481)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177481)Termination reason: Instruction limit
% 9.62/2.12 % (1177481)Termination phase: Saturation
% 9.62/2.12 % (1177481)Time elapsed: 0.039 s
% 9.62/2.12 % (1177481)Peak memory usage: 90 MB
% 9.62/2.12 % (1177481)Instructions burned: 120 (million)
% 9.62/2.12 % (1177482)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=429214661:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.62/2.12 % (1177483)dis-21_1_sil=8000:lcm=predicate:random_seed=3610187189: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)
% 9.62/2.12 % (1177480)Refutation not found, incomplete strategy
% 9.62/2.12 % (1177480)------------------------------
% 9.62/2.12 % (1177480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177480)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177480)Termination reason: Refutation not found, incomplete strategy
% 9.62/2.12 % (1177480)Time elapsed: 0.005 s
% 9.62/2.12 % (1177480)Peak memory usage: 89 MB
% 9.62/2.12 % (1177480)Instructions burned: 5 (million)
% 9.62/2.12 % (1177483)Instruction limit reached!
% 9.62/2.12 % (1177483)------------------------------
% 9.62/2.12 % (1177483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177483)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177483)Termination reason: Instruction limit
% 9.62/2.12 % (1177483)Termination phase: Saturation
% 9.62/2.12 % (1177483)Time elapsed: 0.070 s
% 9.62/2.12 % (1177483)Peak memory usage: 91 MB
% 9.62/2.12 % (1177483)Instructions burned: 130 (million)
% 9.62/2.12 % (1177482)Instruction limit reached!
% 9.62/2.12 % (1177482)------------------------------
% 9.62/2.12 % (1177482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177482)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177482)Termination reason: Instruction limit
% 9.62/2.12 % (1177482)Termination phase: Saturation
% 9.62/2.12 % (1177482)Time elapsed: 0.080 s
% 9.62/2.12 % (1177482)Peak memory usage: 91 MB
% 9.62/2.12 % (1177482)Instructions burned: 140 (million)
% 9.62/2.12 % (1177491)lrs+10_1_sil=8000:sp=occurrence:random_seed=4115142146:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.62/2.12 % (1177491)Instruction limit reached!
% 9.62/2.12 % (1177491)------------------------------
% 9.62/2.12 % (1177491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177491)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177491)Termination reason: Instruction limit
% 9.62/2.12 % (1177491)Termination phase: Saturation
% 9.62/2.12 % (1177491)Time elapsed: 0.098 s
% 9.62/2.12 % (1177491)Peak memory usage: 92 MB
% 9.62/2.12 % (1177491)Instructions burned: 286 (million)
% 9.62/2.12 % (1177492)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1523571521:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.62/2.12 % (1177493)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2444173493:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.62/2.12 % (1177480)------------------------------
% 9.62/2.12 % (1177480)------------------------------
% 9.62/2.12 % (1177492)Instruction limit reached!
% 9.62/2.12 % (1177492)------------------------------
% 9.62/2.12 % (1177492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177492)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177492)Termination reason: Instruction limit
% 9.62/2.12 % (1177492)Termination phase: Saturation
% 9.62/2.12 % (1177492)Time elapsed: 0.085 s
% 9.62/2.12 % (1177492)Peak memory usage: 94 MB
% 9.62/2.12 % (1177492)Instructions burned: 158 (million)
% 9.62/2.12 % (1177495)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=2705364996:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.62/2.12 % (1177495)Instruction limit reached!
% 9.62/2.12 % (1177495)------------------------------
% 9.62/2.12 % (1177495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177495)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177495)Termination reason: Instruction limit
% 9.62/2.12 % (1177495)Termination phase: Saturation
% 9.62/2.12 % (1177495)Time elapsed: 0.071 s
% 9.62/2.12 % (1177495)Peak memory usage: 92 MB
% 9.62/2.12 % (1177495)Instructions burned: 249 (million)
% 9.62/2.12 % (1177499)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=148336967:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.62/2.12 % (1177493)Instruction limit reached!
% 9.62/2.12 % (1177493)------------------------------
% 9.62/2.12 % (1177493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177493)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177493)Termination reason: Instruction limit
% 9.62/2.12 % (1177493)Termination phase: Saturation
% 9.62/2.12 % (1177493)Time elapsed: 0.183 s
% 9.62/2.12 % (1177493)Peak memory usage: 90 MB
% 9.62/2.12 % (1177493)Instructions burned: 326 (million)
% 9.62/2.12 % (1177501)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1415590110:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.62/2.12 % (1177502)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2937796449:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.62/2.12 % (1177502)Instruction limit reached!
% 9.62/2.12 % (1177502)------------------------------
% 9.62/2.12 % (1177502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177502)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177502)Termination reason: Instruction limit
% 9.62/2.12 % (1177502)Termination phase: Saturation
% 9.62/2.12 % (1177502)Time elapsed: 0.031 s
% 9.62/2.12 % (1177502)Peak memory usage: 90 MB
% 9.62/2.12 % (1177502)Instructions burned: 113 (million)
% 9.62/2.12 % (1177504)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3379464946:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.62/2.12 % (1177499)Instruction limit reached!
% 9.62/2.12 % (1177499)------------------------------
% 9.62/2.12 % (1177499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177499)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177499)Termination reason: Instruction limit
% 9.62/2.12 % (1177499)Termination phase: Saturation
% 9.62/2.12 % (1177499)Time elapsed: 0.171 s
% 9.62/2.12 % (1177499)Peak memory usage: 92 MB
% 9.62/2.12 % (1177499)Instructions burned: 295 (million)
% 9.62/2.12 % (1177507)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4191960426:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.62/2.12 % (1177504)Refutation not found, incomplete strategy
% 9.62/2.12 % (1177504)------------------------------
% 9.62/2.12 % (1177504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177504)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177504)Termination reason: Refutation not found, incomplete strategy
% 9.62/2.12 % (1177504)Time elapsed: 0.056 s
% 9.62/2.12 % (1177504)Peak memory usage: 90 MB
% 9.62/2.12 % (1177504)Instructions burned: 113 (million)
% 9.62/2.12 % (1177507)Instruction limit reached!
% 9.62/2.12 % (1177507)------------------------------
% 9.62/2.12 % (1177507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177507)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177507)Termination reason: Instruction limit
% 9.62/2.12 % (1177507)Termination phase: Saturation
% 9.62/2.12 % (1177507)Time elapsed: 0.032 s
% 9.62/2.12 % (1177507)Peak memory usage: 90 MB
% 9.62/2.12 % (1177507)Instructions burned: 116 (million)
% 9.62/2.12 % (1177509)lrs+10_1_sil=8000:sp=occurrence:random_seed=4192244465:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.62/2.12 % (1177511)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4134269171:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.62/2.12 % (1177504)------------------------------
% 9.62/2.12 % (1177504)------------------------------
% 9.62/2.12 % (1177511)Instruction limit reached!
% 9.62/2.12 % (1177511)------------------------------
% 9.62/2.12 % (1177511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177511)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177511)Termination reason: Instruction limit
% 9.62/2.12 % (1177511)Termination phase: Saturation
% 9.62/2.12 % (1177511)Time elapsed: 0.125 s
% 9.62/2.12 % (1177511)Peak memory usage: 94 MB
% 9.62/2.12 % (1177511)Instructions burned: 441 (million)
% 9.62/2.12 % (1177477)First to succeed.
% 9.62/2.12 % (1177477)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1177472"
% 9.62/2.12 % (1177514)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2886511240:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.62/2.12 % (1177515)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2430404278:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 9.62/2.12 % (1177478)Also succeeded, but the first one will report.
% 9.62/2.12 % (1177515)Instruction limit reached!
% 9.62/2.12 % (1177515)------------------------------
% 9.62/2.12 % (1177515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.12 % (1177515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.12 % (1177515)CaDiCaL version: 2.1.3
% 9.62/2.12 % (1177515)Termination reason: Instruction limit
% 9.62/2.12 % (1177515)Termination phase: Saturation
% 9.62/2.12 % (1177515)Time elapsed: 0.075 s
% 9.62/2.12 % (1177515)Peak memory usage: 92 MB
% 9.62/2.12 % (1177515)Instructions burned: 134 (million)
% 9.62/2.12 % (1177518)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3122837522:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 9.62/2.12 % (1177477)Refutation found. Thanks to Tanya!
% 9.62/2.12 % SZS status Theorem for theBenchmark
% 9.62/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 10.48/2.32 % (1177477)------------------------------
% 10.48/2.32 % (1177477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.32 % (1177477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.32 % (1177477)CaDiCaL version: 2.1.3
% 10.48/2.32 % (1177477)Termination reason: Refutation
% 10.48/2.32 % (1177477)Time elapsed: 0.966 s
% 10.48/2.32 % (1177477)Peak memory usage: 147 MB
% 10.48/2.32 % (1177477)Instructions burned: 1543 (million)
% 10.48/2.32 % (1177477)------------------------------
% 10.48/2.32 % (1177477)------------------------------
% 10.48/2.32 % (1177472)Success in time 1.438 s
% 10.48/2.32 % Vampire exiting
%------------------------------------------------------------------------------