%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE035+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:40:09 AM UTC 2026
% Result : Theorem 8.30s 2.15s
% Output : Refutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 58 ( 48 unt; 8 def)
% Number of atoms : 85 ( 45 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 39 ( 12 ~; 5 |; 19 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 46 ( 38 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( test(X3)
& test(X2)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& leq(multiplication(multiplication(X2,X1),c(X3)),zero) )
=> leq(multiplication(multiplication(X2,addition(X0,X1)),c(X3)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( test(X3)
& test(X2)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& leq(multiplication(multiplication(X2,X1),c(X3)),zero) )
=> leq(multiplication(multiplication(X2,addition(X0,X1)),c(X3)),zero) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( ~ leq(multiplication(multiplication(X2,addition(X0,X1)),c(X3)),zero)
& test(X3)
& test(X2)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& leq(multiplication(multiplication(X2,X1),c(X3)),zero) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2,X3] :
( ~ leq(multiplication(multiplication(X2,addition(X0,X1)),c(X3)),zero)
& test(X3)
& test(X2)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& leq(multiplication(multiplication(X2,X1),c(X3)),zero) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f30,plain,
( ~ leq(multiplication(multiplication(sK3,addition(sK1,sK2)),c(sK4)),zero)
& test(sK4)
& test(sK3)
& leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero)
& leq(multiplication(multiplication(sK3,sK2),c(sK4)),zero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4)],[f22]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
leq(multiplication(multiplication(sK3,sK2),c(sK4)),zero),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
~ leq(multiplication(multiplication(sK3,addition(sK1,sK2)),c(sK4)),zero),
inference(cnf_transformation,[],[f30]) ).
fof(f59,definition,
sF5 = addition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f60,plain,
addition(sK1,sK2) = sF5,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF6 = multiplication(sK3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f62,plain,
multiplication(sK3,sF5) = sF6,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF7 = c(sK4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f64,plain,
c(sK4) = sF7,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF8 = multiplication(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f66,plain,
multiplication(sF6,sF7) = sF8,
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
~ leq(sF8,zero),
inference(definition_folding,[],[f57,f66,f64,f62,f60]) ).
fof(f68,definition,
sF9 = multiplication(sK3,sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f69,plain,
multiplication(sK3,sK1) = sF9,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF10 = multiplication(sF9,sF7),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f71,plain,
multiplication(sF9,sF7) = sF10,
inference(reorient_equations,[],[f70]) ).
fof(f72,plain,
leq(sF10,zero),
inference(definition_folding,[],[f54,f71,f64,f69]) ).
fof(f73,definition,
sF11 = multiplication(sK3,sK2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f74,plain,
multiplication(sK3,sK2) = sF11,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF12 = multiplication(sF11,sF7),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f76,plain,
multiplication(sF11,sF7) = sF12,
inference(reorient_equations,[],[f75]) ).
fof(f77,plain,
leq(sF12,zero),
inference(definition_folding,[],[f53,f76,f64,f74]) ).
fof(f78,plain,
zero = addition(sF10,zero),
inference(resolution,[],[f42,f72]) ).
fof(f79,plain,
zero = addition(sF12,zero),
inference(resolution,[],[f42,f77]) ).
fof(f80,plain,
zero = sF12,
inference(forward_demodulation,[],[f79,f33]) ).
fof(f81,plain,
zero = sF10,
inference(forward_demodulation,[],[f78,f33]) ).
fof(f89,plain,
! [X0] : multiplication(sK3,addition(sK1,X0)) = addition(sF9,multiplication(sK3,X0)),
inference(superposition,[],[f38,f69]) ).
fof(f181,plain,
! [X0] : multiplication(addition(X0,sF11),sF7) = addition(multiplication(X0,sF7),sF12),
inference(superposition,[],[f39,f76]) ).
fof(f196,plain,
! [X0] : multiplication(addition(X0,sF11),sF7) = addition(multiplication(X0,sF7),zero),
inference(forward_demodulation,[],[f181,f80]) ).
fof(f200,plain,
! [X0] : multiplication(X0,sF7) = multiplication(addition(X0,sF11),sF7),
inference(forward_demodulation,[],[f196,f33]) ).
fof(f262,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f43,f34]) ).
fof(f265,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f262]) ).
fof(f288,plain,
multiplication(sK3,addition(sK1,sK2)) = addition(sF9,sF11),
inference(superposition,[],[f89,f74]) ).
fof(f291,plain,
multiplication(sK3,sF5) = addition(sF9,sF11),
inference(forward_demodulation,[],[f288,f60]) ).
fof(f293,plain,
sF6 = addition(sF9,sF11),
inference(forward_demodulation,[],[f291,f62]) ).
fof(f295,plain,
multiplication(sF6,sF7) = multiplication(sF9,sF7),
inference(superposition,[],[f200,f293]) ).
fof(f306,plain,
multiplication(sF6,sF7) = sF10,
inference(forward_demodulation,[],[f295,f71]) ).
fof(f307,plain,
zero = multiplication(sF6,sF7),
inference(forward_demodulation,[],[f306,f81]) ).
fof(f308,plain,
zero = sF8,
inference(forward_demodulation,[],[f307,f66]) ).
fof(f309,plain,
~ leq(zero,zero),
inference(superposition,[],[f67,f308]) ).
fof(f310,plain,
$false,
inference(forward_subsumption_resolution,[],[f309,f265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE035+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:03:47 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.68/1.96 % (799259)Detected formulas, will run a generic FOF schedule.
% 6.68/1.96 % (799270)dis-21_1_sil=8000:lcm=predicate:random_seed=786781708: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)
% 6.68/1.96 % (799270)Refutation not found, incomplete strategy
% 6.68/1.96 % (799270)------------------------------
% 6.68/1.96 % (799270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799270)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799270)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.96 % (799270)Time elapsed: 0.002 s
% 6.68/1.96 % (799270)Peak memory usage: 88 MB
% 6.68/1.96 % (799270)Instructions burned: 2 (million)
% 6.68/1.96 % (799268)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=255546775:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.68/1.96 % (799264)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=3825512803:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.68/1.96 % (799266)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=2077421241:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.68/1.96 % (799269)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=263927947:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.68/1.96 % (799267)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2255099845:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.68/1.96 % (799265)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=2222344285:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.68/1.96 % (799267)Refutation not found, incomplete strategy
% 6.68/1.96 % (799267)------------------------------
% 6.68/1.96 % (799267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799267)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799267)Termination reason: Refutation not found, incomplete strategy
% 6.68/1.96 % (799267)Time elapsed: 0.002 s
% 6.68/1.96 % (799267)Peak memory usage: 88 MB
% 6.68/1.96 % (799267)Instructions burned: 1 (million)
% 6.68/1.96 % (799268)Instruction limit reached!
% 6.68/1.96 % (799268)------------------------------
% 6.68/1.96 % (799268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799268)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799268)Termination reason: Instruction limit
% 6.68/1.96 % (799268)Termination phase: Saturation
% 6.68/1.96 % (799268)Time elapsed: 0.069 s
% 6.68/1.96 % (799268)Peak memory usage: 89 MB
% 6.68/1.96 % (799268)Instructions burned: 120 (million)
% 6.68/1.96 % (799269)Instruction limit reached!
% 6.68/1.96 % (799269)------------------------------
% 6.68/1.96 % (799269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799269)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799269)Termination reason: Instruction limit
% 6.68/1.96 % (799269)Termination phase: Saturation
% 6.68/1.96 % (799269)Time elapsed: 0.077 s
% 6.68/1.96 % (799269)Peak memory usage: 89 MB
% 6.68/1.96 % (799269)Instructions burned: 140 (million)
% 6.68/1.96 % (799270)------------------------------
% 6.68/1.96 % (799270)------------------------------
% 6.68/1.96 % (799280)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3950707475:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.68/1.96 % (799278)lrs+10_1_sil=8000:sp=occurrence:random_seed=534786477:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.68/1.96 % (799279)lrs+10_1_sil=32000:urr=on:br=off:random_seed=265563406:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.68/1.96 % (799267)------------------------------
% 6.68/1.96 % (799267)------------------------------
% 6.68/1.96 % (799279)Instruction limit reached!
% 6.68/1.96 % (799279)------------------------------
% 6.68/1.96 % (799279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799279)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799279)Termination reason: Instruction limit
% 6.68/1.96 % (799279)Termination phase: Saturation
% 6.68/1.96 % (799279)Time elapsed: 0.099 s
% 6.68/1.96 % (799279)Peak memory usage: 90 MB
% 6.68/1.96 % (799279)Instructions burned: 158 (million)
% 6.68/1.96 % (799280)Instruction limit reached!
% 6.68/1.96 % (799280)------------------------------
% 6.68/1.96 % (799280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799280)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799280)Termination reason: Instruction limit
% 6.68/1.96 % (799280)Termination phase: Saturation
% 6.68/1.96 % (799280)Time elapsed: 0.103 s
% 6.68/1.96 % (799280)Peak memory usage: 92 MB
% 6.68/1.96 % (799280)Instructions burned: 327 (million)
% 6.68/1.96 % (799284)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=2877877825:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.68/1.96 % (799278)Instruction limit reached!
% 6.68/1.96 % (799278)------------------------------
% 6.68/1.96 % (799278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799278)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799278)Termination reason: Instruction limit
% 6.68/1.96 % (799278)Termination phase: Saturation
% 6.68/1.96 % (799278)Time elapsed: 0.177 s
% 6.68/1.96 % (799278)Peak memory usage: 92 MB
% 6.68/1.96 % (799278)Instructions burned: 285 (million)
% 6.68/1.96 % (799286)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3478987661:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.68/1.96 % (799285)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2872572736:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.68/1.96 % (799288)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1302664245:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.68/1.96 % (799284)Instruction limit reached!
% 6.68/1.96 % (799284)------------------------------
% 6.68/1.96 % (799284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799284)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799284)Termination reason: Instruction limit
% 6.68/1.96 % (799284)Termination phase: Saturation
% 6.68/1.96 % (799284)Time elapsed: 0.160 s
% 6.68/1.96 % (799284)Peak memory usage: 92 MB
% 6.68/1.96 % (799284)Instructions burned: 248 (million)
% 6.68/1.96 % (799285)Instruction limit reached!
% 6.68/1.96 % (799285)------------------------------
% 6.68/1.96 % (799285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799285)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799285)Termination reason: Instruction limit
% 6.68/1.96 % (799285)Termination phase: Saturation
% 6.68/1.96 % (799285)Time elapsed: 0.159 s
% 6.68/1.96 % (799285)Peak memory usage: 89 MB
% 6.68/1.96 % (799285)Instructions burned: 295 (million)
% 6.68/1.96 % (799288)Instruction limit reached!
% 6.68/1.96 % (799288)------------------------------
% 6.68/1.96 % (799288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.96 % (799288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.96 % (799288)CaDiCaL version: 2.1.3
% 6.68/1.96 % (799288)Termination reason: Instruction limit
% 6.68/1.96 % (799288)Termination phase: Saturation
% 6.68/1.96 % (799288)Time elapsed: 0.078 s
% 6.68/1.96 % (799288)Peak memory usage: 90 MB
% 6.68/1.96 % (799288)Instructions burned: 114 (million)
% 6.68/1.96 % (799264)First to succeed.
% 6.68/1.96 % (799264)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-799259"
% 6.68/1.96 % (799266)Also succeeded, but the first one will report.
% 6.68/1.96 % (799265)Also succeeded, but the first one will report.
% 6.68/1.96 % (799292)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4191986121:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.68/1.96 % (799293)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1804547455:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.30/2.15 % (799294)lrs+10_1_sil=8000:sp=occurrence:random_seed=173674901:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.30/2.15 % (799292)Instruction limit reached!
% 8.30/2.15 % (799292)------------------------------
% 8.30/2.15 % (799292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.30/2.15 % (799292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/2.15 % (799292)CaDiCaL version: 2.1.3
% 8.30/2.15 % (799292)Termination reason: Instruction limit
% 8.30/2.15 % (799292)Termination phase: Saturation
% 8.30/2.15 % (799292)Time elapsed: 0.062 s
% 8.30/2.15 % (799292)Peak memory usage: 89 MB
% 8.30/2.15 % (799292)Instructions burned: 127 (million)
% 8.30/2.15 % (799286)Also succeeded, but the first one will report.
% 8.30/2.15 % (799293)Instruction limit reached!
% 8.30/2.15 % (799293)------------------------------
% 8.30/2.15 % (799293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.30/2.15 % (799293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/2.15 % (799293)CaDiCaL version: 2.1.3
% 8.30/2.15 % (799293)Termination reason: Instruction limit
% 8.30/2.15 % (799293)Termination phase: Saturation
% 8.30/2.15 % (799293)Time elapsed: 0.067 s
% 8.30/2.15 % (799293)Peak memory usage: 89 MB
% 8.30/2.15 % (799293)Instructions burned: 116 (million)
% 8.30/2.15 % (799264)Refutation found. Thanks to Tanya!
% 8.30/2.15 % SZS status Theorem for theBenchmark
% 8.30/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 8.30/2.15 % (799264)------------------------------
% 8.30/2.15 % (799264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.30/2.15 % (799264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/2.15 % (799264)CaDiCaL version: 2.1.3
% 8.30/2.15 % (799264)Termination reason: Refutation
% 8.30/2.15 % (799264)Time elapsed: 0.646 s
% 8.30/2.15 % (799264)Peak memory usage: 127 MB
% 8.30/2.15 % (799264)Instructions burned: 966 (million)
% 8.30/2.15 % (799264)------------------------------
% 8.30/2.15 % (799264)------------------------------
% 8.30/2.15 % (799259)Success in time 1.089 s
% 8.30/2.15 % Vampire exiting
%------------------------------------------------------------------------------