%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW219+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 : n016.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 01:29:52 PM UTC 2026
% Result : Theorem 3.38s 1.50s
% Output : Refutation 6.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 41 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 13 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 27 ( 20 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
? [X0] :
! [X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,X1)),v_r)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096) ).
fof(f192,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/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).
fof(f1266,axiom,
! [X0] :
( ! [X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,X1)),v_r)
=> ( ! [X1] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1)))))
=> v_thesis____ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1267,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f1268,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1267]) ).
fof(f1269,plain,
! [X0] :
( ! [X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,X1)),v_r)
=> ( ! [X2] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))))
=> v_thesis____ ) ),
inference(rectify,[],[f1266]) ).
fof(f1270,plain,
~ v_thesis____,
inference(flattening,[],[f1268]) ).
fof(f1280,plain,
! [X0] :
( v_thesis____
| ? [X2] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))))
| ? [X1] : ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,X1)),v_r) ),
inference(ennf_transformation,[],[f1269]) ).
fof(f1281,plain,
! [X0] :
( v_thesis____
| ? [X2] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X2)))))
| ? [X1] : ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,X1)),v_r) ),
inference(flattening,[],[f1280]) ).
fof(f1384,plain,
! [X0] :
( v_thesis____
| ? [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1)))))
| ? [X2] : ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,X2)),v_r) ),
inference(rectify,[],[f1281]) ).
fof(f1385,plain,
! [X0] :
( v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,sK0(X0)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sK0(X0))))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,sK1(X0))),v_r) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0))],[f1384]) ).
fof(f1419,plain,
! [X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sK17,X1)),v_r)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(sK17,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f5]) ).
fof(f1509,plain,
! [X0] :
( v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,sK0(X0)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(sK0(X0))))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,sK1(X0))),v_r) ),
inference(cnf_transformation,[],[f1385]) ).
fof(f1510,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1270]) ).
fof(f1570,plain,
! [X1] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(sK17,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))),
inference(cnf_transformation,[],[f1419]) ).
fof(f1571,plain,
! [X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sK17,X1)),v_r),
inference(cnf_transformation,[],[f1419]) ).
fof(f1763,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,[],[f192]) ).
fof(f1856,plain,
! [X0] :
( v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,sK0(X0)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),sK0(X0))))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,sK1(X0))),v_r) ),
inference(definition_unfolding,[],[f1509,f1763]) ).
fof(f1859,plain,
! [X1] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(sK17,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1))))),
inference(definition_unfolding,[],[f1570,f1763]) ).
fof(f2071,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X0,sK0(X0)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),sK0(X0))))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X0,sK1(X0))),v_r) ),
inference(forward_subsumption_resolution,[],[f1856,f1510]) ).
fof(f5317,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sK17,sK1(sK17))),v_r),
inference(resolution,[],[f1859,f2071]) ).
fof(f5332,plain,
$false,
inference(forward_subsumption_resolution,[],[f5317,f1571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW219+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 13:23:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.38/1.50 % (3619162)Detected formulas, will run a generic FOF schedule.
% 3.38/1.50 % (3619171)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=176983120:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.38/1.50 % (3619168)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=90109254:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.38/1.50 % (3619170)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1386561984:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.38/1.50 % (3619167)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=1560021771:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.38/1.50 % (3619169)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=925462634:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.38/1.50 % (3619171)Instruction limit reached!
% 3.38/1.50 % (3619171)------------------------------
% 3.38/1.50 % (3619171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619171)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619171)Termination reason: Instruction limit
% 3.38/1.50 % (3619171)Termination phase: Saturation
% 3.38/1.50 % (3619171)Time elapsed: 0.041 s
% 3.38/1.50 % (3619171)Peak memory usage: 90 MB
% 3.38/1.50 % (3619171)Instructions burned: 121 (million)
% 3.38/1.50 % (3619172)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3268277249:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.38/1.50 % (3619173)dis-21_1_sil=8000:lcm=predicate:random_seed=153342445: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)
% 3.38/1.50 % (3619170)Instruction limit reached!
% 3.38/1.50 % (3619170)------------------------------
% 3.38/1.50 % (3619170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619170)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619170)Termination reason: Instruction limit
% 3.38/1.50 % (3619170)Termination phase: Saturation
% 3.38/1.50 % (3619170)Time elapsed: 0.059 s
% 3.38/1.50 % (3619170)Peak memory usage: 90 MB
% 3.38/1.50 % (3619170)Instructions burned: 110 (million)
% 3.38/1.50 % (3619173)Instruction limit reached!
% 3.38/1.50 % (3619173)------------------------------
% 3.38/1.50 % (3619173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619173)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619173)Termination reason: Instruction limit
% 3.38/1.50 % (3619173)Termination phase: Saturation
% 3.38/1.50 % (3619173)Time elapsed: 0.066 s
% 3.38/1.50 % (3619173)Peak memory usage: 90 MB
% 3.38/1.50 % (3619173)Instructions burned: 129 (million)
% 3.38/1.50 % (3619172)Instruction limit reached!
% 3.38/1.50 % (3619172)------------------------------
% 3.38/1.50 % (3619172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619172)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619172)Termination reason: Instruction limit
% 3.38/1.50 % (3619172)Termination phase: Saturation
% 3.38/1.50 % (3619172)Time elapsed: 0.079 s
% 3.38/1.50 % (3619172)Peak memory usage: 91 MB
% 3.38/1.50 % (3619172)Instructions burned: 140 (million)
% 3.38/1.50 % (3619181)lrs+10_1_sil=8000:sp=occurrence:random_seed=2710238542:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.38/1.50 % (3619182)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1118952377:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.38/1.50 % (3619182)Refutation not found, incomplete strategy
% 3.38/1.50 % (3619182)------------------------------
% 3.38/1.50 % (3619182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619182)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619182)Termination reason: Refutation not found, incomplete strategy
% 3.38/1.50 % (3619182)Time elapsed: 0.009 s
% 3.38/1.50 % (3619182)Peak memory usage: 88 MB
% 3.38/1.50 % (3619182)Instructions burned: 17 (million)
% 3.38/1.50 % (3619183)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2301727435:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.38/1.50 % (3619181)Instruction limit reached!
% 3.38/1.50 % (3619181)------------------------------
% 3.38/1.50 % (3619181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619181)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619181)Termination reason: Instruction limit
% 3.38/1.50 % (3619181)Termination phase: Saturation
% 3.38/1.50 % (3619181)Time elapsed: 0.103 s
% 3.38/1.50 % (3619181)Peak memory usage: 92 MB
% 3.38/1.50 % (3619181)Instructions burned: 286 (million)
% 3.38/1.50 % (3619184)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=3089826130:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.38/1.50 % (3619183)First to succeed.
% 3.38/1.50 % (3619183)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3619162"
% 3.38/1.50 % (3619188)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1684645128:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.38/1.50 % (3619184)Instruction limit reached!
% 3.38/1.50 % (3619184)------------------------------
% 3.38/1.50 % (3619184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619184)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619184)Termination reason: Instruction limit
% 3.38/1.50 % (3619184)Termination phase: Saturation
% 3.38/1.50 % (3619184)Time elapsed: 0.146 s
% 3.38/1.50 % (3619184)Peak memory usage: 92 MB
% 3.38/1.50 % (3619184)Instructions burned: 248 (million)
% 3.38/1.50 % (3619182)------------------------------
% 3.38/1.50 % (3619182)------------------------------
% 3.38/1.50 % (3619188)Instruction limit reached!
% 3.38/1.50 % (3619188)------------------------------
% 3.38/1.50 % (3619188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619188)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619188)Termination reason: Instruction limit
% 3.38/1.50 % (3619188)Termination phase: Saturation
% 3.38/1.50 % (3619188)Time elapsed: 0.087 s
% 3.38/1.50 % (3619188)Peak memory usage: 92 MB
% 3.38/1.50 % (3619188)Instructions burned: 296 (million)
% 3.38/1.50 % (3619191)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1906130778:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 3.38/1.50 % (3619193)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=174676699:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 3.38/1.50 % (3619193)Instruction limit reached!
% 3.38/1.50 % (3619193)------------------------------
% 3.38/1.50 % (3619193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.50 % (3619193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.50 % (3619193)CaDiCaL version: 2.1.3
% 3.38/1.50 % (3619193)Termination reason: Instruction limit
% 3.38/1.50 % (3619193)Termination phase: Saturation
% 3.38/1.50 % (3619193)Time elapsed: 0.034 s
% 3.38/1.50 % (3619193)Peak memory usage: 90 MB
% 3.38/1.50 % (3619193)Instructions burned: 129 (million)
% 3.38/1.50 % (3619183)Refutation found. Thanks to Tanya!
% 3.38/1.50 % SZS status Theorem for theBenchmark
% 3.38/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 6.14/1.69 % (3619183)------------------------------
% 6.14/1.69 % (3619183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.69 % (3619183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.69 % (3619183)CaDiCaL version: 2.1.3
% 6.14/1.69 % (3619183)Termination reason: Refutation
% 6.14/1.69 % (3619183)Time elapsed: 0.135 s
% 6.14/1.69 % (3619183)Peak memory usage: 92 MB
% 6.14/1.69 % (3619183)Instructions burned: 197 (million)
% 6.14/1.69 % (3619183)------------------------------
% 6.14/1.69 % (3619183)------------------------------
% 6.14/1.69 % (3619162)Success in time 0.837 s
% 6.14/1.69 % Vampire exiting
%------------------------------------------------------------------------------