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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP766-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 10:16:09 AM UTC 2026

% Result   : Unsatisfiable 22.24s 4.28s
% Output   : Refutation 22.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   65 (  65 unt;   0 def)
%            Number of atoms       :   65 (  64 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :  145 ( 145   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : product(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,difference(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).

fof(f4,axiom,
    ! [X0,X1] : difference(X0,product(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).

fof(f5,axiom,
    ! [X0,X1] : quotient(product(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).

fof(f6,axiom,
    ! [X0,X1] : product(quotient(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos06) ).

fof(f7,axiom,
    ! [X2,X0,X1] : difference(X0,product(product(X0,X1),X2)) = quotient(product(X1,product(X2,X0)),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos07) ).

fof(f8,axiom,
    ! [X2,X0,X1] : difference(product(X0,X1),product(X0,product(X1,X2))) = quotient(quotient(product(X2,product(X0,X1)),X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos08) ).

fof(f9,axiom,
    ! [X0] : i(X0) = difference(X0,one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos09) ).

fof(f12,axiom,
    ! [X0] : eta(X0) = product(i(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos12) ).

fof(f13,plain,
    ! [X0] : product(i(X0),X0) = eta(X0),
    inference(reorient_equations,[],[f12]) ).

fof(f14,axiom,
    ! [X2,X0,X1] : l(X0,X1,X2) = difference(product(X0,X1),product(X0,product(X1,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos13) ).

fof(f15,plain,
    ! [X2,X0,X1] : difference(product(X0,X1),product(X0,product(X1,X2))) = l(X0,X1,X2),
    inference(reorient_equations,[],[f14]) ).

fof(f17,axiom,
    ! [X0,X1] : product(i(i(X0)),X1) = product(eta(X0),product(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos15) ).

fof(f19,axiom,
    ! [X0,X1] : product(X0,product(X1,eta(X0))) = product(product(X0,X1),eta(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos17) ).

fof(f20,axiom,
    ! [X0,X1] : t(X0,X1) = quotient(product(X0,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos18) ).

fof(f21,axiom,
    ! [X2,X0,X1] : t(eta(X0),product(X1,X2)) = product(t(eta(X0),X1),t(eta(X0),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos19) ).

fof(f22,negated_conjecture,
    product(eta(x0),product(x1,x2)) != product(product(eta(x0),x1),x2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f23,plain,
    ! [X2,X0,X1] : quotient(quotient(product(X2,product(X0,X1)),X1),X0) = l(X0,X1,X2),
    inference(backward_demodulation,[],[f8,f15]) ).

fof(f36,plain,
    ! [X2,X0,X1] : product(product(X1,X2),X0) = product(X1,quotient(product(X2,product(X0,X1)),X1)),
    inference(superposition,[],[f3,f7]) ).

fof(f39,plain,
    ! [X0,X1] : product(X1,eta(X0)) = product(X0,product(difference(X0,X1),eta(X0))),
    inference(superposition,[],[f19,f3]) ).

fof(f46,plain,
    ! [X0,X1] : product(difference(X0,X1),eta(X0)) = difference(X0,product(X1,eta(X0))),
    inference(superposition,[],[f4,f39]) ).

fof(f64,plain,
    ! [X0,X1] : product(product(eta(X0),X0),difference(X0,X1)) = product(eta(X0),quotient(product(X1,eta(X0)),eta(X0))),
    inference(superposition,[],[f36,f39]) ).

fof(f77,plain,
    ! [X0,X1] : product(eta(X0),X1) = product(product(eta(X0),X0),difference(X0,X1)),
    inference(forward_demodulation,[],[f64,f5]) ).

fof(f81,plain,
    ! [X0,X1] : product(eta(X0),product(X0,X1)) = product(product(eta(X0),X0),X1),
    inference(superposition,[],[f77,f4]) ).

fof(f90,plain,
    ! [X0,X1] : product(i(i(X0)),X1) = product(product(eta(X0),X0),X1),
    inference(forward_demodulation,[],[f81,f17]) ).

fof(f94,plain,
    ! [X0,X1] : product(eta(X0),X1) = product(i(i(X0)),difference(X0,X1)),
    inference(backward_demodulation,[],[f77,f90]) ).

fof(f102,plain,
    ! [X0,X1] : product(i(i(X0)),product(difference(X0,X1),eta(i(i(X0))))) = product(product(eta(X0),X1),eta(i(i(X0)))),
    inference(superposition,[],[f19,f94]) ).

fof(f139,plain,
    ! [X0,X1] : product(eta(X0),product(X1,eta(X0))) = product(i(i(X0)),product(difference(X0,X1),eta(X0))),
    inference(superposition,[],[f94,f46]) ).

fof(f246,plain,
    ! [X0,X1] : product(X0,X1) = quotient(product(X0,product(X1,eta(X0))),eta(X0)),
    inference(superposition,[],[f5,f19]) ).

fof(f350,plain,
    ! [X2,X0,X1] : quotient(product(X0,product(X1,X2)),X2) = product(l(X1,X2,X0),X1),
    inference(superposition,[],[f6,f23]) ).

fof(f361,plain,
    ! [X2,X0,X1] : product(product(X1,X2),quotient(X0,X1)) = product(X1,quotient(product(X2,X0),X1)),
    inference(superposition,[],[f36,f6]) ).

fof(f368,plain,
    ! [X0,X1] : product(X1,quotient(X0,eta(X1))) = quotient(product(X1,X0),eta(X1)),
    inference(superposition,[],[f246,f6]) ).

fof(f392,plain,
    ! [X0,X1] : quotient(X1,eta(X0)) = product(X0,quotient(difference(X0,X1),eta(X0))),
    inference(superposition,[],[f368,f3]) ).

fof(f399,plain,
    ! [X0,X1] : product(i(i(X0)),quotient(difference(X0,X1),eta(i(i(X0))))) = quotient(product(eta(X0),X1),eta(i(i(X0)))),
    inference(superposition,[],[f368,f94]) ).

fof(f474,plain,
    ! [X2,X0,X1] : product(product(X0,X1),X2) = product(X0,product(l(X2,X0,X1),X2)),
    inference(superposition,[],[f36,f350]) ).

fof(f696,plain,
    ! [X0] : product(eta(X0),one) = product(i(i(X0)),i(X0)),
    inference(superposition,[],[f94,f9]) ).

fof(f700,plain,
    ! [X0] : eta(i(X0)) = product(eta(X0),one),
    inference(forward_demodulation,[],[f696,f13]) ).

fof(f706,plain,
    ! [X0] : eta(X0) = eta(i(X0)),
    inference(forward_demodulation,[],[f700,f1]) ).

fof(f713,plain,
    ! [X0,X1] : product(i(i(X0)),quotient(difference(X0,X1),eta(i(X0)))) = quotient(product(eta(X0),X1),eta(i(X0))),
    inference(backward_demodulation,[],[f399,f706]) ).

fof(f717,plain,
    ! [X0,X1] : product(i(i(X0)),product(difference(X0,X1),eta(i(X0)))) = product(product(eta(X0),X1),eta(i(X0))),
    inference(backward_demodulation,[],[f102,f706]) ).

fof(f718,plain,
    ! [X0,X1] : product(i(i(X0)),product(difference(X0,X1),eta(X0))) = product(product(eta(X0),X1),eta(X0)),
    inference(forward_demodulation,[],[f717,f706]) ).

fof(f722,plain,
    ! [X0,X1] : quotient(product(eta(X0),X1),eta(X0)) = product(i(i(X0)),quotient(difference(X0,X1),eta(X0))),
    inference(forward_demodulation,[],[f713,f706]) ).

fof(f726,plain,
    ! [X0,X1] : product(eta(X0),product(X1,eta(X0))) = product(product(eta(X0),X1),eta(X0)),
    inference(forward_demodulation,[],[f718,f139]) ).

fof(f728,plain,
    ! [X0,X1] : t(eta(X0),X1) = product(i(i(X0)),quotient(difference(X0,X1),eta(X0))),
    inference(forward_demodulation,[],[f722,f20]) ).

fof(f943,plain,
    ! [X2,X0,X1] : product(product(X0,X1),l(X0,X1,X2)) = product(X0,quotient(product(product(X1,X2),X0),X0)),
    inference(superposition,[],[f36,f474]) ).

fof(f960,plain,
    ! [X2,X0,X1] : product(X0,product(X1,X2)) = product(product(X0,X1),l(X0,X1,X2)),
    inference(forward_demodulation,[],[f943,f5]) ).

fof(f1496,plain,
    ! [X0,X1] : product(i(i(X0)),quotient(difference(X0,X1),eta(X0))) = product(eta(X0),quotient(X1,eta(X0))),
    inference(superposition,[],[f17,f392]) ).

fof(f1543,plain,
    ! [X0,X1] : t(eta(X0),X1) = product(eta(X0),quotient(X1,eta(X0))),
    inference(forward_demodulation,[],[f1496,f728]) ).

fof(f1556,plain,
    ! [X2,X0,X1] : t(eta(X1),quotient(product(X0,product(eta(X1),X2)),X2)) = product(eta(X1),l(eta(X1),X2,X0)),
    inference(superposition,[],[f1543,f23]) ).

fof(f1558,plain,
    ! [X0,X1] : product(eta(X1),X0) = t(eta(X1),product(X0,eta(X1))),
    inference(superposition,[],[f1543,f5]) ).

fof(f1853,plain,
    ! [X2,X0,X1] : t(eta(X1),product(product(X0,eta(X1)),X2)) = product(product(eta(X1),X0),t(eta(X1),X2)),
    inference(superposition,[],[f21,f1558]) ).

fof(f2331,plain,
    ! [X0,X1] : product(X1,eta(X0)) = product(eta(X0),product(difference(eta(X0),X1),eta(X0))),
    inference(superposition,[],[f726,f3]) ).

fof(f2398,plain,
    ! [X2,X0,X1] : product(eta(X0),quotient(product(product(difference(eta(X0),X1),eta(X0)),X2),eta(X0))) = product(product(X1,eta(X0)),quotient(X2,eta(X0))),
    inference(superposition,[],[f361,f2331]) ).

fof(f2402,plain,
    ! [X2,X0,X1] : product(product(X1,eta(X0)),quotient(X2,eta(X0))) = t(eta(X0),product(product(difference(eta(X0),X1),eta(X0)),X2)),
    inference(forward_demodulation,[],[f2398,f1543]) ).

fof(f2410,plain,
    ! [X2,X0,X1] : product(product(X1,eta(X0)),quotient(X2,eta(X0))) = product(product(eta(X0),difference(eta(X0),X1)),t(eta(X0),X2)),
    inference(forward_demodulation,[],[f2402,f1853]) ).

fof(f2417,plain,
    ! [X2,X0,X1] : product(product(X1,eta(X0)),quotient(X2,eta(X0))) = product(X1,t(eta(X0),X2)),
    inference(forward_demodulation,[],[f2410,f3]) ).

fof(f2442,plain,
    ! [X2,X0,X1] : product(X2,t(eta(X1),product(X0,eta(X1)))) = product(product(X2,eta(X1)),X0),
    inference(superposition,[],[f2417,f5]) ).

fof(f2480,plain,
    ! [X2,X0,X1] : product(product(X2,eta(X1)),X0) = product(X2,product(eta(X1),X0)),
    inference(forward_demodulation,[],[f2442,f1558]) ).

fof(f2616,plain,
    ! [X2,X0,X1] : product(X0,eta(X2)) = quotient(product(X0,product(eta(X2),X1)),X1),
    inference(superposition,[],[f5,f2480]) ).

fof(f2661,plain,
    ! [X2,X0,X1] : product(eta(X1),l(eta(X1),X2,X0)) = t(eta(X1),product(X0,eta(X1))),
    inference(backward_demodulation,[],[f1556,f2616]) ).

fof(f2692,plain,
    ! [X2,X0,X1] : product(eta(X1),X0) = product(eta(X1),l(eta(X1),X2,X0)),
    inference(forward_demodulation,[],[f2661,f1558]) ).

fof(f2828,plain,
    ! [X2,X0,X1] : l(eta(X2),X0,X1) = difference(eta(X2),product(eta(X2),X1)),
    inference(superposition,[],[f4,f2692]) ).

fof(f2848,plain,
    ! [X2,X0,X1] : l(eta(X2),X0,X1) = X1,
    inference(forward_demodulation,[],[f2828,f4]) ).

fof(f2919,plain,
    ! [X2,X0,X1] : product(product(eta(X0),X1),X2) = product(eta(X0),product(X1,X2)),
    inference(superposition,[],[f960,f2848]) ).

fof(f2947,plain,
    $false,
    inference(backward_subsumption_resolution,[],[f22,f2919]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP766-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.38  % Computer : n009.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8046.5625MB
% 0.14/0.38  % OS       : Linux 6.8.0-71-generic
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Sun Sep 27 10:42:44 UTC 2026
% 0.14/0.39  % CPUTime  : 
% 0.14/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44  Running first-order theorem proving
% 0.14/0.44  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
% 22.24/4.28  % (1845230)Detected a unit-equality problem, will run specialized UEQ schedule.
% 22.24/4.28  % (1845241)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=399671464:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 22.24/4.28  % (1845238)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=796097504:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 22.24/4.28  % (1845235)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4228595771:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 22.24/4.28  % (1845236)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1055837199:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 22.24/4.28  % (1845237)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1658102748:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 22.24/4.28  % (1845240)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3605918603:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 22.24/4.28  % (1845239)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3128935147:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 22.24/4.28  % (1845238)Instruction limit reached! 
% 22.24/4.28  % (1845238)------------------------------
% 22.24/4.28  % (1845238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.24/4.28  % (1845238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/4.28  % (1845238)CaDiCaL version: 2.1.3
% 22.24/4.28  % (1845238)Termination reason: Instruction limit
% 22.24/4.28  % (1845238)Termination phase: Saturation
% 22.24/4.28  % (1845238)Time elapsed: 0.133 s
% 22.24/4.28  % (1845238)Peak memory usage: 88 MB
% 22.24/4.28  % (1845238)Instructions burned: 137 (million)
% 22.24/4.28  % (1845239)Instruction limit reached! 
% 22.24/4.28  % (1845239)------------------------------
% 22.24/4.28  % (1845239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.24/4.28  % (1845239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/4.28  % (1845239)CaDiCaL version: 2.1.3
% 22.24/4.28  % (1845239)Termination reason: Instruction limit
% 22.24/4.28  % (1845239)Termination phase: Saturation
% 22.24/4.28  % (1845239)Time elapsed: 0.177 s
% 22.24/4.28  % (1845239)Peak memory usage: 89 MB
% 22.24/4.28  % (1845239)Instructions burned: 182 (million)
% 22.24/4.28  % (1845240)Instruction limit reached! 
% 22.24/4.28  % (1845240)------------------------------
% 22.24/4.28  % (1845240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.24/4.28  % (1845240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/4.28  % (1845240)CaDiCaL version: 2.1.3
% 22.24/4.28  % (1845240)Termination reason: Instruction limit
% 22.24/4.28  % (1845240)Termination phase: Saturation
% 22.24/4.28  % (1845240)Time elapsed: 0.277 s
% 22.24/4.28  % (1845240)Peak memory usage: 91 MB
% 22.24/4.28  % (1845240)Instructions burned: 257 (million)
% 22.24/4.28  % (1845249)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=464976593:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 22.24/4.28  % (1845250)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=358637330:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 22.24/4.28  % (1845241)Instruction limit reached! 
% 22.24/4.28  % (1845241)------------------------------
% 22.24/4.28  % (1845241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.24/4.28  % (1845241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/4.28  % (1845241)CaDiCaL version: 2.1.3
% 22.24/4.28  % (1845241)Termination reason: Instruction limit
% 22.24/4.28  % (1845241)Termination phase: Saturation
% 22.24/4.28  % (1845241)Time elapsed: 0.607 s
% 22.24/4.28  % (1845241)Peak memory usage: 101 MB
% 22.24/4.28  % (1845241)Instructions burned: 1188 (million)
% 22.24/4.28  % (1845251)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2897898981:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 22.24/4.28  % (1845251)Instruction limit reached! 
% 22.24/4.28  % (1845251)------------------------------
% 22.24/4.28  % (1845251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.24/4.28  % (1845251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/4.28  % (1845251)CaDiCaL version: 2.1.3
% 22.24/4.28  % (1845251)Termination reason: Instruction limit
% 22.24/4.28  % (1845251)Termination phase: Saturation
% 22.24/4.28  % (1845251)Time elapsed: 0.194 s
% 22.24/4.28  % (1845251)Peak memory usage: 89 MB
% 22.24/4.28  % (1845251)Instructions burned: 216 (million)
% 22.24/4.28  % (1845254)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2206745455:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 22.24/4.28  % (1845256)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1807082641:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 22.24/4.28  % (1845254)Instruction limit reached! 
% 22.24/4.28  % (1845254)------------------------------
% 22.24/4.28  % (1845254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.24/4.28  % (1845254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/4.28  % (1845254)CaDiCaL version: 2.1.3
% 22.24/4.28  % (1845254)Termination reason: Instruction limit
% 22.24/4.28  % (1845254)Termination phase: Saturation
% 22.24/4.28  % (1845254)Time elapsed: 0.349 s
% 22.24/4.28  % (1845254)Peak memory usage: 94 MB
% 22.24/4.28  % (1845254)Instructions burned: 317 (million)
% 22.24/4.28  % (1845259)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2904750327:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 22.24/4.28  % (1845249)First to succeed.
% 22.24/4.28  % (1845249)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1845230"
% 22.24/4.28  % (1845249)Refutation found. Thanks to Tanya!
% 22.24/4.28  % SZS status Unsatisfiable for theBenchmark
% 22.24/4.28  % SZS output start Proof for theBenchmark
% See solution above
% 22.87/4.48  % (1845249)------------------------------
% 22.87/4.48  % (1845249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.87/4.48  % (1845249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.87/4.48  % (1845249)CaDiCaL version: 2.1.3
% 22.87/4.48  % (1845249)Termination reason: Refutation
% 22.87/4.48  % (1845249)Time elapsed: 1.969 s
% 22.87/4.48  % (1845249)Peak memory usage: 138 MB
% 22.87/4.48  % (1845249)Instructions burned: 1802 (million)
% 22.87/4.48  % (1845249)------------------------------
% 22.87/4.48  % (1845249)------------------------------
% 22.87/4.48  % (1845230)Success in time 3.123 s
% 22.87/4.48  % Vampire exiting
%------------------------------------------------------------------------------