%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW216+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 : n007.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 10.44s 2.29s
% Output : Refutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 18 unt; 2 def)
% Number of atoms : 49 ( 4 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 17 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_m_I1_J) ).
fof(f3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_H_I3_J) ).
fof(f47,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(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__less__divide__eq) ).
fof(f1134,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(f1250,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1251,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(negated_conjecture,[status(cth)],[f1250]) ).
fof(f1253,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(flattening,[],[f1251]) ).
fof(f1293,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f47]) ).
fof(f1294,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f1293]) ).
fof(f2364,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
& ( c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2)) ) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(nnf_transformation,[],[f1294]) ).
fof(f2767,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[],[f2]) ).
fof(f2768,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(cnf_transformation,[],[f3]) ).
fof(f2819,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(cnf_transformation,[],[f2364]) ).
fof(f4443,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1134]) ).
fof(f4559,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f1253]) ).
fof(f4975,definition,
sF24 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f4976,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____) = sF24,
inference(reorient_equations,[],[f4975]) ).
fof(f4977,definition,
sF25 = hAPP(sF24,v_m____),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f4978,plain,
hAPP(sF24,v_m____) = sF25,
inference(reorient_equations,[],[f4977]) ).
fof(f4979,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF25,v_e),
inference(definition_folding,[],[f4559,f4978,f4976]) ).
fof(f5176,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF24,X0),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(superposition,[],[f2819,f4976]) ).
fof(f5183,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF24,X0),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(forward_subsumption_resolution,[],[f5176,f4443]) ).
fof(f5243,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF24,v_m____),v_e)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ),
inference(resolution,[],[f5183,f2768]) ).
fof(f5244,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF24,v_m____),v_e),
inference(forward_subsumption_resolution,[],[f5243,f2767]) ).
fof(f5245,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF25,v_e),
inference(forward_demodulation,[],[f5244,f4978]) ).
fof(f5246,plain,
$false,
inference(forward_subsumption_resolution,[],[f5245,f4979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW216+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n007.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 13:16:10 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 9.84/2.09 % (2387667)Detected formulas, will run a generic FOF schedule.
% 9.84/2.09 % (2387678)dis-21_1_sil=8000:lcm=predicate:random_seed=3878995125: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)
% 9.84/2.09 % (2387678)Instruction limit reached!
% 9.84/2.09 % (2387678)------------------------------
% 9.84/2.09 % (2387678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387678)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387678)Termination reason: Instruction limit
% 9.84/2.09 % (2387678)Termination phase: Saturation
% 9.84/2.09 % (2387678)Time elapsed: 0.035 s
% 9.84/2.09 % (2387678)Peak memory usage: 90 MB
% 9.84/2.09 % (2387678)Instructions burned: 132 (million)
% 9.84/2.09 % (2387672)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=2786061086:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.84/2.09 % (2387676)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3746052306:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.84/2.09 % (2387677)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2793205343:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.84/2.09 % (2387675)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3049047215:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.84/2.09 % (2387674)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=1980504328:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.84/2.09 % (2387673)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=912967225:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.84/2.09 % (2387675)Refutation not found, incomplete strategy
% 9.84/2.09 % (2387675)------------------------------
% 9.84/2.09 % (2387675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387675)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387675)Termination reason: Refutation not found, incomplete strategy
% 9.84/2.09 % (2387675)Time elapsed: 0.006 s
% 9.84/2.09 % (2387675)Peak memory usage: 89 MB
% 9.84/2.09 % (2387675)Instructions burned: 7 (million)
% 9.84/2.09 % (2387676)Instruction limit reached!
% 9.84/2.09 % (2387676)------------------------------
% 9.84/2.09 % (2387676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387676)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387676)Termination reason: Instruction limit
% 9.84/2.09 % (2387676)Termination phase: Saturation
% 9.84/2.09 % (2387676)Time elapsed: 0.058 s
% 9.84/2.09 % (2387676)Peak memory usage: 89 MB
% 9.84/2.09 % (2387676)Instructions burned: 120 (million)
% 9.84/2.09 % (2387677)Instruction limit reached!
% 9.84/2.09 % (2387677)------------------------------
% 9.84/2.09 % (2387677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387677)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387677)Termination reason: Instruction limit
% 9.84/2.09 % (2387677)Termination phase: Saturation
% 9.84/2.09 % (2387677)Time elapsed: 0.087 s
% 9.84/2.09 % (2387677)Peak memory usage: 91 MB
% 9.84/2.09 % (2387677)Instructions burned: 140 (million)
% 9.84/2.09 % (2387680)lrs+10_1_sil=8000:sp=occurrence:random_seed=3304754920:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.84/2.09 % (2387687)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2634039266:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.84/2.09 % (2387680)Instruction limit reached!
% 9.84/2.09 % (2387680)------------------------------
% 9.84/2.09 % (2387680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387680)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387680)Termination reason: Instruction limit
% 9.84/2.09 % (2387680)Termination phase: Saturation
% 9.84/2.09 % (2387680)Time elapsed: 0.097 s
% 9.84/2.09 % (2387680)Peak memory usage: 92 MB
% 9.84/2.09 % (2387680)Instructions burned: 285 (million)
% 9.84/2.09 % (2387675)------------------------------
% 9.84/2.09 % (2387675)------------------------------
% 9.84/2.09 % (2387688)lrs+1011_1_sil=32000:sp=occurrence:random_seed=951152301:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.84/2.09 % (2387687)Instruction limit reached!
% 9.84/2.09 % (2387687)------------------------------
% 9.84/2.09 % (2387687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387687)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387687)Termination reason: Instruction limit
% 9.84/2.09 % (2387687)Termination phase: Saturation
% 9.84/2.09 % (2387687)Time elapsed: 0.077 s
% 9.84/2.09 % (2387687)Peak memory usage: 91 MB
% 9.84/2.09 % (2387687)Instructions burned: 159 (million)
% 9.84/2.09 % (2387691)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=3004754869:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.84/2.09 % (2387691)Instruction limit reached!
% 9.84/2.09 % (2387691)------------------------------
% 9.84/2.09 % (2387691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387691)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387691)Termination reason: Instruction limit
% 9.84/2.09 % (2387691)Termination phase: Saturation
% 9.84/2.09 % (2387691)Time elapsed: 0.070 s
% 9.84/2.09 % (2387691)Peak memory usage: 93 MB
% 9.84/2.09 % (2387691)Instructions burned: 249 (million)
% 9.84/2.09 % (2387693)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=758426873:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.84/2.09 % (2387694)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1841066997:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.84/2.09 % (2387693)Refutation not found, incomplete strategy
% 9.84/2.09 % (2387693)------------------------------
% 9.84/2.09 % (2387693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387693)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387693)Termination reason: Refutation not found, incomplete strategy
% 9.84/2.09 % (2387693)Time elapsed: 0.025 s
% 9.84/2.09 % (2387693)Peak memory usage: 90 MB
% 9.84/2.09 % (2387693)Instructions burned: 43 (million)
% 9.84/2.09 % (2387688)Instruction limit reached!
% 9.84/2.09 % (2387688)------------------------------
% 9.84/2.09 % (2387688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387688)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387688)Termination reason: Instruction limit
% 9.84/2.09 % (2387688)Termination phase: Saturation
% 9.84/2.09 % (2387688)Time elapsed: 0.192 s
% 9.84/2.09 % (2387688)Peak memory usage: 91 MB
% 9.84/2.09 % (2387688)Instructions burned: 325 (million)
% 9.84/2.09 % (2387696)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=752335271:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.84/2.09 % (2387696)Instruction limit reached!
% 9.84/2.09 % (2387696)------------------------------
% 9.84/2.09 % (2387696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387696)CaDiCaL version: 2.1.3
% 9.84/2.09 % (2387696)Termination reason: Instruction limit
% 9.84/2.09 % (2387696)Termination phase: Saturation
% 9.84/2.09 % (2387696)Time elapsed: 0.031 s
% 9.84/2.09 % (2387696)Peak memory usage: 90 MB
% 9.84/2.09 % (2387696)Instructions burned: 114 (million)
% 9.84/2.09 % (2387699)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3186823642:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.84/2.09 % (2387699)Instruction limit reached!
% 9.84/2.09 % (2387699)------------------------------
% 9.84/2.09 % (2387699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.09 % (2387699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.09 % (2387699)CaDiCaL version: 2.1.3
% 10.44/2.29 % (2387699)Termination reason: Instruction limit
% 10.44/2.29 % (2387699)Termination phase: Saturation
% 10.44/2.29 % (2387699)Time elapsed: 0.062 s
% 10.44/2.29 % (2387699)Peak memory usage: 90 MB
% 10.44/2.29 % (2387699)Instructions burned: 129 (million)
% 10.44/2.29 % (2387701)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1319754233:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.44/2.29 % (2387693)------------------------------
% 10.44/2.29 % (2387693)------------------------------
% 10.44/2.29 % (2387701)Instruction limit reached!
% 10.44/2.29 % (2387701)------------------------------
% 10.44/2.29 % (2387701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.29 % (2387701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.29 % (2387701)CaDiCaL version: 2.1.3
% 10.44/2.29 % (2387701)Termination reason: Instruction limit
% 10.44/2.29 % (2387701)Termination phase: Saturation
% 10.44/2.29 % (2387701)Time elapsed: 0.032 s
% 10.44/2.29 % (2387701)Peak memory usage: 90 MB
% 10.44/2.29 % (2387701)Instructions burned: 117 (million)
% 10.44/2.29 % (2387703)lrs+10_1_sil=8000:sp=occurrence:random_seed=128533008:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.44/2.29 % (2387706)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2603824947:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.44/2.29 % (2387705)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=732656439:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.44/2.29 % (2387672)First to succeed.
% 10.44/2.29 % (2387672)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2387667"
% 10.44/2.29 % (2387673)Also succeeded, but the first one will report.
% 10.44/2.29 % (2387705)Instruction limit reached!
% 10.44/2.29 % (2387705)------------------------------
% 10.44/2.29 % (2387705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.29 % (2387705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.29 % (2387705)CaDiCaL version: 2.1.3
% 10.44/2.29 % (2387705)Termination reason: Instruction limit
% 10.44/2.29 % (2387705)Termination phase: Saturation
% 10.44/2.29 % (2387705)Time elapsed: 0.240 s
% 10.44/2.29 % (2387705)Peak memory usage: 94 MB
% 10.44/2.29 % (2387705)Instructions burned: 438 (million)
% 10.44/2.29 % (2387672)Refutation found. Thanks to Tanya!
% 10.44/2.29 % SZS status Theorem for theBenchmark
% 10.44/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 10.44/2.29 % (2387672)------------------------------
% 10.44/2.29 % (2387672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.29 % (2387672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.29 % (2387672)CaDiCaL version: 2.1.3
% 10.44/2.29 % (2387672)Termination reason: Refutation
% 10.44/2.29 % (2387672)Time elapsed: 0.957 s
% 10.44/2.29 % (2387672)Peak memory usage: 148 MB
% 10.44/2.29 % (2387672)Instructions burned: 1526 (million)
% 10.44/2.29 % (2387672)------------------------------
% 10.44/2.29 % (2387672)------------------------------
% 10.44/2.29 % (2387667)Success in time 1.442 s
% 10.44/2.29 % Vampire exiting
%------------------------------------------------------------------------------