%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW236+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 : n005.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 01:29:55 PM UTC 2026
% Result : Theorem 10.62s 2.18s
% Output : Refutation 10.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 18 unt; 0 def)
% Number of atoms : 53 ( 6 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 17 |; 1 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_h) ).
fof(f14,axiom,
! [X0,X1,X2] :
( class_RealVector_Oreal__normed__div__algebra(X2)
=> c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__mult) ).
fof(f48,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f154,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__0960_A_060_Acmod_Ac_096) ).
fof(f319,axiom,
! [X0,X1,X2,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless__eq(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
<=> c_Orderings_Oord__class_Oless__eq(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__divide__le__eq) ).
fof(f1133,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(f1169,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
fof(f1266,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1267,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(negated_conjecture,[status(cth)],[f1266]) ).
fof(f1274,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(flattening,[],[f1267]) ).
fof(f1285,plain,
! [X0,X1,X2] :
( c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0))
| ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f1753,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless__eq(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
<=> c_Orderings_Oord__class_Oless__eq(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f319]) ).
fof(f1754,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless__eq(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
<=> c_Orderings_Oord__class_Oless__eq(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f1753]) ).
fof(f2548,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless__eq(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) )
& ( c_Orderings_Oord__class_Oless__eq(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0) ) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(nnf_transformation,[],[f1754]) ).
fof(f2818,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f3]) ).
fof(f2829,plain,
! [X2,X0,X1] :
( ~ class_RealVector_Oreal__normed__div__algebra(X2)
| c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0)) ),
inference(cnf_transformation,[],[f1285]) ).
fof(f2870,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f3040,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
inference(cnf_transformation,[],[f154]) ).
fof(f3294,plain,
! [X2,X3,X0,X1] :
( ~ class_Fields_Olinordered__field(X3)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| c_Orderings_Oord__class_Oless__eq(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) ),
inference(cnf_transformation,[],[f2548]) ).
fof(f4431,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1133]) ).
fof(f4467,plain,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1169]) ).
fof(f4564,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(cnf_transformation,[],[f1274]) ).
fof(f4966,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(forward_demodulation,[],[f2818,f2870]) ).
fof(f4971,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),
inference(superposition,[],[f4564,f2870]) ).
fof(f5067,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)) ),
inference(resolution,[],[f4431,f3294]) ).
fof(f5085,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),X1) ),
inference(resolution,[],[f5067,f3040]) ).
fof(f5149,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
inference(resolution,[],[f2829,f4467]) ).
fof(f5225,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),v_c____))) ),
inference(superposition,[],[f5085,f5149]) ).
fof(f5226,plain,
$false,
inference(unit_resulting_resolution,[],[f5225,f4971,f4966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW236+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:20:47 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 10.62/2.18 % (779756)Detected formulas, will run a generic FOF schedule.
% 10.62/2.18 % (779767)dis-21_1_sil=8000:lcm=predicate:random_seed=2758694343: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)
% 10.62/2.18 % (779766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1573668392:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.62/2.18 % (779764)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1089027275:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.62/2.18 % (779765)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4029691833:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.62/2.18 % (779761)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=599516685:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.62/2.18 % (779763)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=1365593061:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.62/2.18 % (779762)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=2444766672:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.62/2.18 % (779767)Instruction limit reached!
% 10.62/2.18 % (779767)------------------------------
% 10.62/2.18 % (779767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779767)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779767)Termination reason: Instruction limit
% 10.62/2.18 % (779767)Termination phase: Saturation
% 10.62/2.18 % (779767)Time elapsed: 0.038 s
% 10.62/2.18 % (779767)Peak memory usage: 91 MB
% 10.62/2.18 % (779767)Instructions burned: 131 (million)
% 10.62/2.18 % (779764)Instruction limit reached!
% 10.62/2.18 % (779764)------------------------------
% 10.62/2.18 % (779764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779764)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779764)Termination reason: Instruction limit
% 10.62/2.18 % (779764)Termination phase: Saturation
% 10.62/2.18 % (779764)Time elapsed: 0.060 s
% 10.62/2.18 % (779764)Peak memory usage: 89 MB
% 10.62/2.18 % (779764)Instructions burned: 110 (million)
% 10.62/2.18 % (779765)Instruction limit reached!
% 10.62/2.18 % (779765)------------------------------
% 10.62/2.18 % (779765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779765)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779765)Termination reason: Instruction limit
% 10.62/2.18 % (779765)Termination phase: Saturation
% 10.62/2.18 % (779765)Time elapsed: 0.066 s
% 10.62/2.18 % (779765)Peak memory usage: 89 MB
% 10.62/2.18 % (779765)Instructions burned: 120 (million)
% 10.62/2.18 % (779766)Instruction limit reached!
% 10.62/2.18 % (779766)------------------------------
% 10.62/2.18 % (779766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779766)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779766)Termination reason: Instruction limit
% 10.62/2.18 % (779766)Termination phase: Saturation
% 10.62/2.18 % (779766)Time elapsed: 0.077 s
% 10.62/2.18 % (779766)Peak memory usage: 91 MB
% 10.62/2.18 % (779766)Instructions burned: 139 (million)
% 10.62/2.18 % (779775)lrs+10_1_sil=8000:sp=occurrence:random_seed=515133442:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.62/2.18 % (779775)Instruction limit reached!
% 10.62/2.18 % (779775)------------------------------
% 10.62/2.18 % (779775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779775)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779775)Termination reason: Instruction limit
% 10.62/2.18 % (779775)Termination phase: Saturation
% 10.62/2.18 % (779775)Time elapsed: 0.098 s
% 10.62/2.18 % (779775)Peak memory usage: 92 MB
% 10.62/2.18 % (779775)Instructions burned: 286 (million)
% 10.62/2.18 % (779776)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3250029197:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.62/2.18 % (779777)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2572313805:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.62/2.18 % (779778)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=2846198362:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.62/2.18 % (779780)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2240758146:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.62/2.18 % (779776)Instruction limit reached!
% 10.62/2.18 % (779776)------------------------------
% 10.62/2.18 % (779776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779776)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779776)Termination reason: Instruction limit
% 10.62/2.18 % (779776)Termination phase: Saturation
% 10.62/2.18 % (779776)Time elapsed: 0.089 s
% 10.62/2.18 % (779776)Peak memory usage: 91 MB
% 10.62/2.18 % (779776)Instructions burned: 158 (million)
% 10.62/2.18 % (779778)Instruction limit reached!
% 10.62/2.18 % (779778)------------------------------
% 10.62/2.18 % (779778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779778)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779778)Termination reason: Instruction limit
% 10.62/2.18 % (779778)Termination phase: Saturation
% 10.62/2.18 % (779778)Time elapsed: 0.142 s
% 10.62/2.18 % (779778)Peak memory usage: 92 MB
% 10.62/2.18 % (779778)Instructions burned: 248 (million)
% 10.62/2.18 % (779780)Instruction limit reached!
% 10.62/2.18 % (779780)------------------------------
% 10.62/2.18 % (779780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779780)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779780)Termination reason: Instruction limit
% 10.62/2.18 % (779780)Termination phase: Saturation
% 10.62/2.18 % (779780)Time elapsed: 0.086 s
% 10.62/2.18 % (779780)Peak memory usage: 92 MB
% 10.62/2.18 % (779780)Instructions burned: 294 (million)
% 10.62/2.18 % (779777)Instruction limit reached!
% 10.62/2.18 % (779777)------------------------------
% 10.62/2.18 % (779777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779777)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779777)Termination reason: Instruction limit
% 10.62/2.18 % (779777)Termination phase: Saturation
% 10.62/2.18 % (779777)Time elapsed: 0.203 s
% 10.62/2.18 % (779777)Peak memory usage: 92 MB
% 10.62/2.18 % (779777)Instructions burned: 326 (million)
% 10.62/2.18 % (779785)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1794127342:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.62/2.18 % (779786)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1531770203:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.62/2.18 % (779786)Instruction limit reached!
% 10.62/2.18 % (779786)------------------------------
% 10.62/2.18 % (779786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779786)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779786)Termination reason: Instruction limit
% 10.62/2.18 % (779786)Termination phase: Saturation
% 10.62/2.18 % (779786)Time elapsed: 0.031 s
% 10.62/2.18 % (779786)Peak memory usage: 90 MB
% 10.62/2.18 % (779786)Instructions burned: 114 (million)
% 10.62/2.18 % (779787)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1170225093:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.62/2.18 % (779788)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3788663618:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.62/2.18 % (779787)Instruction limit reached!
% 10.62/2.18 % (779787)------------------------------
% 10.62/2.18 % (779787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779787)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779787)Termination reason: Instruction limit
% 10.62/2.18 % (779787)Termination phase: Saturation
% 10.62/2.18 % (779787)Time elapsed: 0.061 s
% 10.62/2.18 % (779787)Peak memory usage: 90 MB
% 10.62/2.18 % (779787)Instructions burned: 127 (million)
% 10.62/2.18 % (779791)lrs+10_1_sil=8000:sp=occurrence:random_seed=1752568274:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 10.62/2.18 % (779788)Instruction limit reached!
% 10.62/2.18 % (779788)------------------------------
% 10.62/2.18 % (779788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779788)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779788)Termination reason: Instruction limit
% 10.62/2.18 % (779788)Termination phase: Saturation
% 10.62/2.18 % (779788)Time elapsed: 0.056 s
% 10.62/2.18 % (779788)Peak memory usage: 90 MB
% 10.62/2.18 % (779788)Instructions burned: 114 (million)
% 10.62/2.18 % (779794)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=446769865:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.62/2.18 % (779796)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3551968233:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.62/2.18 % (779791)Instruction limit reached!
% 10.62/2.18 % (779791)------------------------------
% 10.62/2.18 % (779791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779791)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779791)Termination reason: Instruction limit
% 10.62/2.18 % (779791)Termination phase: Saturation
% 10.62/2.18 % (779791)Time elapsed: 0.312 s
% 10.62/2.18 % (779791)Peak memory usage: 97 MB
% 10.62/2.18 % (779791)Instructions burned: 907 (million)
% 10.62/2.18 % (779794)Instruction limit reached!
% 10.62/2.18 % (779794)------------------------------
% 10.62/2.18 % (779794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779794)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779794)Termination reason: Instruction limit
% 10.62/2.18 % (779794)Termination phase: Saturation
% 10.62/2.18 % (779794)Time elapsed: 0.235 s
% 10.62/2.18 % (779794)Peak memory usage: 94 MB
% 10.62/2.18 % (779794)Instructions burned: 438 (million)
% 10.62/2.18 % (779799)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3061496967:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 10.62/2.18 % (779799)Instruction limit reached!
% 10.62/2.18 % (779799)------------------------------
% 10.62/2.18 % (779799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.62/2.18 % (779799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.62/2.18 % (779799)CaDiCaL version: 2.1.3
% 10.62/2.18 % (779799)Termination reason: Instruction limit
% 10.62/2.18 % (779799)Termination phase: Saturation
% 10.62/2.18 % (779799)Time elapsed: 0.038 s
% 10.62/2.18 % (779799)Peak memory usage: 92 MB
% 10.62/2.18 % (779799)Instructions burned: 135 (million)
% 10.62/2.18 % (779762)First to succeed.
% 10.62/2.18 % (779762)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-779756"
% 10.62/2.18 % (779800)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=838253835:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 10.62/2.18 % (779802)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1114301014:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 10.62/2.18 % (779762)Refutation found. Thanks to Tanya!
% 10.62/2.18 % SZS status Theorem for theBenchmark
% 10.62/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 10.97/2.38 % (779762)------------------------------
% 10.97/2.38 % (779762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.38 % (779762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.38 % (779762)CaDiCaL version: 2.1.3
% 10.97/2.38 % (779762)Termination reason: Refutation
% 10.97/2.38 % (779762)Time elapsed: 1.049 s
% 10.97/2.38 % (779762)Peak memory usage: 150 MB
% 10.97/2.38 % (779762)Instructions burned: 1697 (million)
% 10.97/2.38 % (779762)------------------------------
% 10.97/2.38 % (779762)------------------------------
% 10.97/2.38 % (779756)Success in time 1.515 s
% 10.97/2.38 % Vampire exiting
%------------------------------------------------------------------------------