%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP748+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 : n004.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 10:16:05 AM UTC 2026
% Result : Theorem 13.00s 2.86s
% Output : Refutation 14.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 81 ( 65 unt; 6 def)
% Number of atoms : 105 ( 104 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 12 ~; 18 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 19 con; 0-2 aty)
% Number of variables : 139 ( 127 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X1) = mult(X2,mult(mult(X1,X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X1,X0),i(X0)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f10,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f11,axiom,
! [X0,X1] :
( mult(X1,X0) = mult(X0,X1)
| mult(i(X1),mult(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f12,conjecture,
( ! [X0,X1,X2] : mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)
| ! [X3,X4,X5] : mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)
| ! [X6,X7,X8] : mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)
| ! [X9,X10,X11] : mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f13,negated_conjecture,
~ ( ! [X0,X1,X2] : mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1)
| ! [X3,X4,X5] : mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5)
| ! [X6,X7,X8] : mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8)
| ! [X9,X10,X11] : mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
( ? [X0,X1,X2] : mult(X2,mult(X0,mult(X2,X1))) != mult(mult(mult(X2,X0),X2),X1)
& ? [X3,X4,X5] : mult(X3,mult(X5,mult(X4,X5))) != mult(mult(mult(X3,X5),X4),X5)
& ? [X6,X7,X8] : mult(mult(X8,X6),mult(X7,X8)) != mult(mult(X8,mult(X6,X7)),X8)
& ? [X9,X10,X11] : mult(mult(X11,X9),mult(X10,X11)) != mult(X11,mult(mult(X9,X10),X11)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f15,plain,
( mult(sK2,mult(sK0,mult(sK2,sK1))) != mult(mult(mult(sK2,sK0),sK2),sK1)
& mult(sK3,mult(sK5,mult(sK4,sK5))) != mult(mult(mult(sK3,sK5),sK4),sK5)
& mult(mult(sK8,sK6),mult(sK7,sK8)) != mult(mult(sK8,mult(sK6,sK7)),sK8)
& mult(mult(sK11,sK9),mult(sK10,sK11)) != mult(sK11,mult(mult(sK9,sK10),sK11)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f14]) ).
fof(f16,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f18,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f20,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f22,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X0),X1) = mult(X2,mult(mult(X1,X0),X1)),
inference(cnf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1] : mult(mult(X1,X0),i(X0)) = X1,
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X0] : unit = mult(i(X0),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f26,plain,
! [X0,X1] :
( mult(i(X1),mult(X1,X0)) = X0
| mult(X1,X0) = mult(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f28,plain,
mult(mult(sK8,sK6),mult(sK7,sK8)) != mult(mult(sK8,mult(sK6,sK7)),sK8),
inference(cnf_transformation,[],[f15]) ).
fof(f57,definition,
sF24 = mult(sK8,sK6),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f58,plain,
mult(sK8,sK6) = sF24,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF25 = mult(sK7,sK8),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f60,plain,
mult(sK7,sK8) = sF25,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF26 = mult(sF24,sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f62,plain,
mult(sF24,sF25) = sF26,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF27 = mult(sK6,sK7),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f64,plain,
mult(sK6,sK7) = sF27,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF28 = mult(sK8,sF27),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f66,plain,
mult(sK8,sF27) = sF28,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF29 = mult(sF28,sK8),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f68,plain,
mult(sF28,sK8) = sF29,
inference(reorient_equations,[],[f67]) ).
fof(f69,plain,
sF26 != sF29,
inference(definition_folding,[],[f28,f68,f66,f64,f62,f60,f58]) ).
fof(f97,plain,
! [X0,X1] :
( i(X1) = mult(i(mult(X0,X1)),X0)
| mult(i(X1),mult(X0,X1)) = X0 ),
inference(superposition,[],[f26,f23]) ).
fof(f359,plain,
! [X0,X1] : i(X1) = ld(mult(X0,X1),X0),
inference(superposition,[],[f17,f23]) ).
fof(f361,plain,
! [X0,X1] :
( mult(X1,X0) = ld(i(X1),X0)
| mult(X1,X0) = mult(X0,X1) ),
inference(superposition,[],[f17,f26]) ).
fof(f394,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f19,f16]) ).
fof(f428,plain,
! [X0,X1] : mult(i(X0),mult(mult(X0,X1),X0)) = mult(mult(unit,X1),X0),
inference(superposition,[],[f22,f25]) ).
fof(f470,plain,
! [X0,X1] : mult(X1,X0) = mult(i(X0),mult(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f428,f21]) ).
fof(f482,plain,
! [X0,X1] : mult(mult(mult(X1,X0),X1),i(X1)) = mult(i(i(X1)),mult(mult(X0,X1),i(X1))),
inference(superposition,[],[f470,f470]) ).
fof(f540,plain,
! [X0,X1] : mult(i(i(X1)),X0) = mult(mult(mult(X1,X0),X1),i(X1)),
inference(forward_demodulation,[],[f482,f23]) ).
fof(f568,plain,
! [X0,X1] : mult(X1,X0) = mult(i(i(X1)),X0),
inference(forward_demodulation,[],[f540,f23]) ).
fof(f604,plain,
! [X0,X1] : ld(i(i(X0)),mult(X0,X1)) = X1,
inference(superposition,[],[f17,f568]) ).
fof(f607,plain,
! [X0] : mult(X0,unit) = i(i(X0)),
inference(superposition,[],[f20,f568]) ).
fof(f609,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f607,f20]) ).
fof(f625,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(mult(X1,X2),X1)) = mult(mult(X0,X2),X1),
inference(superposition,[],[f22,f18]) ).
fof(f626,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f17,f18]) ).
fof(f628,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)),
inference(superposition,[],[f23,f18]) ).
fof(f1040,plain,
! [X2,X0,X1] : rd(X0,X2) = rd(mult(mult(X0,X1),X2),mult(mult(X2,X1),X2)),
inference(superposition,[],[f19,f625]) ).
fof(f1998,plain,
! [X0,X1] :
( mult(i(X1),mult(X1,X0)) = X0
| mult(i(X1),mult(X1,X0)) = mult(mult(X1,X0),i(X1)) ),
inference(superposition,[],[f361,f604]) ).
fof(f2002,plain,
! [X0,X1] :
( mult(i(X1),mult(X1,X0)) = rd(mult(X1,X0),X1)
| mult(i(X1),mult(X1,X0)) = X0 ),
inference(forward_demodulation,[],[f1998,f628]) ).
fof(f2123,plain,
! [X0,X1] :
( rd(mult(X0,X1),X0) != X1
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(equality_factoring,[],[f2002]) ).
fof(f2841,plain,
! [X2,X0,X1] : rd(rd(X0,X1),X2) = rd(mult(X0,X2),mult(mult(X2,X1),X2)),
inference(superposition,[],[f1040,f18]) ).
fof(f3151,plain,
! [X0] : rd(rd(X0,sF27),sK8) = rd(mult(X0,sK8),mult(sF28,sK8)),
inference(superposition,[],[f2841,f66]) ).
fof(f3188,plain,
! [X0] : rd(rd(X0,sF27),sK8) = rd(mult(X0,sK8),sF29),
inference(forward_demodulation,[],[f3151,f68]) ).
fof(f6577,plain,
! [X0,X1] :
( i(X1) = mult(i(mult(X0,X1)),X0)
| mult(X0,X1) = ld(i(X1),X0) ),
inference(superposition,[],[f17,f97]) ).
fof(f7072,plain,
! [X0,X1] :
( i(i(X1)) = mult(i(X0),mult(X0,X1))
| ld(i(i(X1)),mult(X0,X1)) = X0 ),
inference(superposition,[],[f6577,f23]) ).
fof(f7322,plain,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = X1
| ld(i(i(X1)),mult(X0,X1)) = X0 ),
inference(forward_demodulation,[],[f7072,f609]) ).
fof(f7361,plain,
! [X0,X1] :
( ld(X1,mult(X0,X1)) = X0
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(forward_demodulation,[],[f7322,f609]) ).
fof(f7645,plain,
! [X0,X1] :
( rd(mult(X0,X1),X0) = X1
| mult(i(X0),mult(X0,X1)) = X1 ),
inference(superposition,[],[f394,f7361]) ).
fof(f7718,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
inference(forward_subsumption_resolution,[],[f7645,f2123]) ).
fof(f7818,plain,
! [X0,X1] : ld(X1,X0) = mult(i(X1),X0),
inference(superposition,[],[f7718,f16]) ).
fof(f7888,plain,
! [X0,X1] : mult(X1,X0) = ld(i(X1),X0),
inference(superposition,[],[f17,f7718]) ).
fof(f7889,plain,
! [X0,X1] : i(X1) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f19,f7718]) ).
fof(f7896,plain,
! [X0,X1] : i(mult(X1,X0)) = ld(X0,i(X1)),
inference(superposition,[],[f359,f7718]) ).
fof(f8491,plain,
! [X0,X1] : ld(X0,i(X1)) = rd(i(X0),X1),
inference(superposition,[],[f628,f7818]) ).
fof(f8498,plain,
! [X0,X1] : i(mult(X1,X0)) = rd(i(X0),X1),
inference(forward_demodulation,[],[f8491,f7896]) ).
fof(f10753,plain,
i(sK6) = rd(sK7,sF27),
inference(superposition,[],[f7889,f64]) ).
fof(f16516,plain,
rd(rd(sK7,sF27),sK8) = rd(sF25,sF29),
inference(superposition,[],[f3188,f60]) ).
fof(f16690,plain,
rd(i(sK6),sK8) = rd(sF25,sF29),
inference(forward_demodulation,[],[f16516,f10753]) ).
fof(f16691,plain,
i(mult(sK8,sK6)) = rd(sF25,sF29),
inference(forward_demodulation,[],[f16690,f8498]) ).
fof(f16692,plain,
i(sF24) = rd(sF25,sF29),
inference(forward_demodulation,[],[f16691,f58]) ).
fof(f16695,plain,
sF29 = ld(i(sF24),sF25),
inference(superposition,[],[f626,f16692]) ).
fof(f16718,plain,
mult(sF24,sF25) = sF29,
inference(forward_demodulation,[],[f16695,f7888]) ).
fof(f16728,plain,
sF26 = sF29,
inference(forward_demodulation,[],[f16718,f62]) ).
fof(f16735,plain,
$false,
inference(forward_subsumption_resolution,[],[f16728,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP748+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:41:22 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 13.00/2.86 % (3324785)Detected formulas, will run a generic FOF schedule.
% 13.00/2.86 % (3324791)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=3790825799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.00/2.86 % (3324794)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2574531761:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.00/2.86 % (3324796)dis-21_1_sil=8000:lcm=predicate:random_seed=1031695012: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)
% 13.00/2.86 % (3324793)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2315045793:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.00/2.86 % (3324790)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=2101738439:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.00/2.86 % (3324795)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=930205022:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.00/2.86 % (3324792)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=22516174:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.00/2.86 % (3324793)Refutation not found, incomplete strategy
% 13.00/2.86 % (3324793)------------------------------
% 13.00/2.86 % (3324793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324796)Refutation not found, incomplete strategy
% 13.00/2.86 % (3324796)------------------------------
% 13.00/2.86 % (3324796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324793)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324793)Termination reason: Refutation not found, incomplete strategy
% 13.00/2.86 % (3324793)Time elapsed: 0.002 s
% 13.00/2.86 % (3324796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324793)Peak memory usage: 88 MB
% 13.00/2.86 % (3324793)Instructions burned: 1 (million)
% 13.00/2.86 % (3324796)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324796)Termination reason: Refutation not found, incomplete strategy
% 13.00/2.86 % (3324796)Time elapsed: 0.002 s
% 13.00/2.86 % (3324796)Peak memory usage: 88 MB
% 13.00/2.86 % (3324796)Instructions burned: 1 (million)
% 13.00/2.86 % (3324794)Instruction limit reached!
% 13.00/2.86 % (3324794)------------------------------
% 13.00/2.86 % (3324794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324794)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324794)Termination reason: Instruction limit
% 13.00/2.86 % (3324794)Termination phase: Saturation
% 13.00/2.86 % (3324794)Time elapsed: 0.063 s
% 13.00/2.86 % (3324794)Peak memory usage: 89 MB
% 13.00/2.86 % (3324794)Instructions burned: 121 (million)
% 13.00/2.86 % (3324795)Instruction limit reached!
% 13.00/2.86 % (3324795)------------------------------
% 13.00/2.86 % (3324795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324795)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324795)Termination reason: Instruction limit
% 13.00/2.86 % (3324795)Termination phase: Saturation
% 13.00/2.86 % (3324795)Time elapsed: 0.082 s
% 13.00/2.86 % (3324795)Peak memory usage: 89 MB
% 13.00/2.86 % (3324795)Instructions burned: 140 (million)
% 13.00/2.86 % (3324804)lrs+10_1_sil=8000:sp=occurrence:random_seed=1177307662:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.00/2.86 % (3324805)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3353611693:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.00/2.86 % (3324796)------------------------------
% 13.00/2.86 % (3324796)------------------------------
% 13.00/2.86 % (3324793)------------------------------
% 13.00/2.86 % (3324793)------------------------------
% 13.00/2.86 % (3324805)Instruction limit reached!
% 13.00/2.86 % (3324805)------------------------------
% 13.00/2.86 % (3324805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324805)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324805)Termination reason: Instruction limit
% 13.00/2.86 % (3324805)Termination phase: Saturation
% 13.00/2.86 % (3324805)Time elapsed: 0.090 s
% 13.00/2.86 % (3324805)Peak memory usage: 90 MB
% 13.00/2.86 % (3324805)Instructions burned: 158 (million)
% 13.00/2.86 % (3324804)Instruction limit reached!
% 13.00/2.86 % (3324804)------------------------------
% 13.00/2.86 % (3324804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324804)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324804)Termination reason: Instruction limit
% 13.00/2.86 % (3324804)Termination phase: Saturation
% 13.00/2.86 % (3324804)Time elapsed: 0.161 s
% 13.00/2.86 % (3324804)Peak memory usage: 91 MB
% 13.00/2.86 % (3324804)Instructions burned: 286 (million)
% 13.00/2.86 % (3324809)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=2826820759:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.00/2.86 % (3324808)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2891941803:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.00/2.86 % (3324810)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=113328642:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.00/2.86 % (3324810)Refutation not found, incomplete strategy
% 13.00/2.86 % (3324810)------------------------------
% 13.00/2.86 % (3324810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324810)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324810)Termination reason: Refutation not found, incomplete strategy
% 13.00/2.86 % (3324810)Time elapsed: 0.002 s
% 13.00/2.86 % (3324810)Peak memory usage: 88 MB
% 13.00/2.86 % (3324810)Instructions burned: 1 (million)
% 13.00/2.86 % (3324811)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4193438582:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 13.00/2.86 % (3324809)Instruction limit reached!
% 13.00/2.86 % (3324809)------------------------------
% 13.00/2.86 % (3324809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324809)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324809)Termination reason: Instruction limit
% 13.00/2.86 % (3324809)Termination phase: Saturation
% 13.00/2.86 % (3324809)Time elapsed: 0.146 s
% 13.00/2.86 % (3324809)Peak memory usage: 91 MB
% 13.00/2.86 % (3324809)Instructions burned: 248 (million)
% 13.00/2.86 % (3324808)Instruction limit reached!
% 13.00/2.86 % (3324808)------------------------------
% 13.00/2.86 % (3324808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324808)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324808)Termination reason: Instruction limit
% 13.00/2.86 % (3324808)Termination phase: Saturation
% 13.00/2.86 % (3324808)Time elapsed: 0.198 s
% 13.00/2.86 % (3324808)Peak memory usage: 92 MB
% 13.00/2.86 % (3324808)Instructions burned: 325 (million)
% 13.00/2.86 % (3324816)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1811851182:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.00/2.86 % (3324810)------------------------------
% 13.00/2.86 % (3324810)------------------------------
% 13.00/2.86 % (3324817)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=930781288:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.00/2.86 % (3324817)Refutation not found, incomplete strategy
% 13.00/2.86 % (3324817)------------------------------
% 13.00/2.86 % (3324817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324817)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324817)Termination reason: Refutation not found, incomplete strategy
% 13.00/2.86 % (3324817)Time elapsed: 0.001 s
% 13.00/2.86 % (3324817)Peak memory usage: 88 MB
% 13.00/2.86 % (3324816)Instruction limit reached!
% 13.00/2.86 % (3324816)------------------------------
% 13.00/2.86 % (3324816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324816)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324816)Termination reason: Instruction limit
% 13.00/2.86 % (3324816)Termination phase: Saturation
% 13.00/2.86 % (3324816)Time elapsed: 0.077 s
% 13.00/2.86 % (3324816)Peak memory usage: 90 MB
% 13.00/2.86 % (3324816)Instructions burned: 113 (million)
% 13.00/2.86 % (3324819)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1732754940:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 13.00/2.86 % (3324819)Refutation not found, incomplete strategy
% 13.00/2.86 % (3324819)------------------------------
% 13.00/2.86 % (3324819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324819)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324819)Termination reason: Refutation not found, incomplete strategy
% 13.00/2.86 % (3324819)Time elapsed: 0.001 s
% 13.00/2.86 % (3324819)Peak memory usage: 88 MB
% 13.00/2.86 % (3324819)Instructions burned: 1 (million)
% 13.00/2.86 % (3324821)lrs+10_1_sil=8000:sp=occurrence:random_seed=1096943593:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 13.00/2.86 % (3324817)------------------------------
% 13.00/2.86 % (3324817)------------------------------
% 13.00/2.86 % (3324819)------------------------------
% 13.00/2.86 % (3324819)------------------------------
% 13.00/2.86 % (3324824)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3758336362:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 13.00/2.86 % (3324824)Refutation not found, incomplete strategy
% 13.00/2.86 % (3324824)------------------------------
% 13.00/2.86 % (3324824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324824)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324824)Termination reason: Refutation not found, incomplete strategy
% 13.00/2.86 % (3324824)Time elapsed: 0.002 s
% 13.00/2.86 % (3324824)Peak memory usage: 88 MB
% 13.00/2.86 % (3324824)Instructions burned: 1 (million)
% 13.00/2.86 % (3324825)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1695318784:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 13.00/2.86 % (3324824)------------------------------
% 13.00/2.86 % (3324824)------------------------------
% 13.00/2.86 % (3324821)Instruction limit reached!
% 13.00/2.86 % (3324821)------------------------------
% 13.00/2.86 % (3324821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324821)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324821)Termination reason: Instruction limit
% 13.00/2.86 % (3324821)Termination phase: Saturation
% 13.00/2.86 % (3324821)Time elapsed: 0.559 s
% 13.00/2.86 % (3324821)Peak memory usage: 97 MB
% 13.00/2.86 % (3324821)Instructions burned: 908 (million)
% 13.00/2.86 % (3324828)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2801297242:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 13.00/2.86 % (3324828)Refutation not found, incomplete strategy
% 13.00/2.86 % (3324828)------------------------------
% 13.00/2.86 % (3324828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.00/2.86 % (3324828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.00/2.86 % (3324828)CaDiCaL version: 2.1.3
% 13.00/2.86 % (3324828)Termination reason: Refutation not found, incomplete strategy
% 13.00/2.86 % (3324828)Time elapsed: 0.002 s
% 13.00/2.86 % (3324828)Peak memory usage: 89 MB
% 13.00/2.86 % (3324828)Instructions burned: 1 (million)
% 13.00/2.86 % (3324790)First to succeed.
% 13.00/2.86 % (3324790)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3324785"
% 13.00/2.86 % (3324829)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3977190148:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 13.00/2.86 % (3324828)------------------------------
% 13.00/2.86 % (3324828)------------------------------
% 13.00/2.86 % (3324790)Refutation found. Thanks to Tanya!
% 13.00/2.86 % SZS status Theorem for theBenchmark
% 13.00/2.86 % SZS output start Proof for theBenchmark
% See solution above
% 14.89/3.07 % (3324790)------------------------------
% 14.89/3.07 % (3324790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.89/3.07 % (3324790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/3.07 % (3324790)CaDiCaL version: 2.1.3
% 14.89/3.07 % (3324790)Termination reason: Refutation
% 14.89/3.07 % (3324790)Time elapsed: 1.585 s
% 14.89/3.07 % (3324790)Peak memory usage: 145 MB
% 14.89/3.07 % (3324790)Instructions burned: 2607 (million)
% 14.89/3.07 % (3324790)------------------------------
% 14.89/3.07 % (3324790)------------------------------
% 14.89/3.07 % (3324785)Success in time 2.018 s
% 14.89/3.07 % Vampire exiting
%------------------------------------------------------------------------------