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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KLE169-10 : TPTP v9.3.1. Released v7.5.0.
% 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 11:40:32 AM UTC 2026

% Result   : Unsatisfiable 18.57s 3.76s
% Output   : Refutation 19.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   73 (  73 unt;   8 def)
%            Number of atoms       :   73 (  72 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-4 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

fof(f2,negated_conjecture,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

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

fof(f5,axiom,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).

fof(f7,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f9,negated_conjecture,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f10,negated_conjecture,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f11,axiom,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).

fof(f12,axiom,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).

fof(f17,negated_conjecture,
    ! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_1) ).

fof(f18,axiom,
    ! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).

fof(f19,plain,
    ! [X0,X1] : true = ifeq3(addition(X0,X1),X1,leq(X0,X1),true),
    inference(reorient_equations,[],[f18]) ).

fof(f22,axiom,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).

fof(f23,plain,
    ! [X0] : true = leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(reorient_equations,[],[f22]) ).

fof(f28,negated_conjecture,
    sigma = addition(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',an) ).

fof(f29,negated_conjecture,
    leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).

fof(f30,plain,
    true != leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))),
    inference(reorient_equations,[],[f29]) ).

fof(f31,definition,
    sF0 = addition(a,b),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f32,plain,
    addition(a,b) = sF0,
    inference(reorient_equations,[],[f31]) ).

fof(f33,plain,
    sigma = sF0,
    inference(definition_folding,[],[f28,f32]) ).

fof(f34,definition,
    sF1 = multiplication(b,a),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f35,plain,
    multiplication(b,a) = sF1,
    inference(reorient_equations,[],[f34]) ).

fof(f36,definition,
    sF2 = multiplication(a,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f37,plain,
    multiplication(a,sF1) = sF2,
    inference(reorient_equations,[],[f36]) ).

fof(f38,definition,
    sF3 = star(sigma),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f39,plain,
    star(sigma) = sF3,
    inference(reorient_equations,[],[f38]) ).

fof(f40,definition,
    sF4 = multiplication(sigma,a),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f41,plain,
    multiplication(sigma,a) = sF4,
    inference(reorient_equations,[],[f40]) ).

fof(f42,definition,
    sF5 = multiplication(a,sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f43,plain,
    multiplication(a,sF4) = sF5,
    inference(reorient_equations,[],[f42]) ).

fof(f44,definition,
    sF6 = multiplication(sF3,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f45,plain,
    multiplication(sF3,sF5) = sF6,
    inference(reorient_equations,[],[f44]) ).

fof(f46,definition,
    sF7 = leq(sF2,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f47,plain,
    leq(sF2,sF6) = sF7,
    inference(reorient_equations,[],[f46]) ).

fof(f48,plain,
    true != sF7,
    inference(definition_folding,[],[f30,f47,f45,f43,f41,f39,f37,f35]) ).

fof(f49,plain,
    sigma = addition(a,b),
    inference(forward_demodulation,[],[f32,f33]) ).

fof(f57,plain,
    ! [X0] : multiplication(a,addition(sF1,X0)) = addition(sF2,multiplication(a,X0)),
    inference(superposition,[],[f11,f37]) ).

fof(f76,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(superposition,[],[f11,f9]) ).

fof(f126,plain,
    ! [X0] : multiplication(addition(b,X0),a) = addition(sF1,multiplication(X0,a)),
    inference(superposition,[],[f12,f35]) ).

fof(f129,plain,
    ! [X0] : multiplication(addition(sF3,X0),sF5) = addition(sF6,multiplication(X0,sF5)),
    inference(superposition,[],[f12,f45]) ).

fof(f185,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f5,f7]) ).

fof(f228,plain,
    true = ifeq3(addition(sF2,sF6),sF6,sF7,true),
    inference(superposition,[],[f19,f47]) ).

fof(f298,plain,
    multiplication(addition(b,sigma),a) = addition(sF1,sF4),
    inference(superposition,[],[f126,f41]) ).

fof(f311,plain,
    addition(sF1,sF4) = multiplication(addition(sigma,b),a),
    inference(forward_demodulation,[],[f298,f4]) ).

fof(f315,plain,
    ! [X0] : star(X0) = ifeq2(true,true,addition(addition(one,multiplication(star(X0),X0)),star(X0)),star(X0)),
    inference(superposition,[],[f17,f23]) ).

fof(f330,plain,
    ! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(forward_demodulation,[],[f315,f2]) ).

fof(f332,plain,
    ! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
    inference(forward_demodulation,[],[f330,f5]) ).

fof(f334,plain,
    ! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
    inference(forward_demodulation,[],[f332,f4]) ).

fof(f336,plain,
    ! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(one,X0))),
    inference(forward_demodulation,[],[f334,f76]) ).

fof(f515,plain,
    multiplication(addition(sF3,one),sF5) = addition(sF6,sF5),
    inference(superposition,[],[f129,f10]) ).

fof(f528,plain,
    multiplication(addition(sF3,one),sF5) = addition(sF5,sF6),
    inference(forward_demodulation,[],[f515,f4]) ).

fof(f1087,plain,
    ! [X0,X1] : true = ifeq3(addition(X0,X1),addition(X0,X1),leq(X0,addition(X0,X1)),true),
    inference(superposition,[],[f19,f185]) ).

fof(f1098,plain,
    ! [X0,X1] : true = leq(X0,addition(X0,X1)),
    inference(forward_demodulation,[],[f1087,f1]) ).

fof(f1119,plain,
    multiplication(a,addition(sF1,sF4)) = addition(sF2,sF5),
    inference(superposition,[],[f57,f43]) ).

fof(f1834,plain,
    ! [X0,X1] : true = leq(X1,addition(X0,X1)),
    inference(superposition,[],[f1098,f4]) ).

fof(f1899,plain,
    true = leq(b,sigma),
    inference(superposition,[],[f1834,f49]) ).

fof(f1933,plain,
    sigma = ifeq2(true,true,addition(b,sigma),sigma),
    inference(superposition,[],[f17,f1899]) ).

fof(f1936,plain,
    sigma = addition(b,sigma),
    inference(forward_demodulation,[],[f1933,f2]) ).

fof(f1938,plain,
    sigma = addition(sigma,b),
    inference(forward_demodulation,[],[f1936,f4]) ).

fof(f1940,plain,
    multiplication(sigma,a) = addition(sF1,sF4),
    inference(backward_demodulation,[],[f311,f1938]) ).

fof(f1941,plain,
    sF4 = addition(sF1,sF4),
    inference(forward_demodulation,[],[f1940,f41]) ).

fof(f1942,plain,
    multiplication(a,sF4) = addition(sF2,sF5),
    inference(backward_demodulation,[],[f1119,f1941]) ).

fof(f1943,plain,
    sF5 = addition(sF2,sF5),
    inference(forward_demodulation,[],[f1942,f43]) ).

fof(f1964,plain,
    ! [X0] : addition(sF5,X0) = addition(sF2,addition(sF5,X0)),
    inference(superposition,[],[f5,f1943]) ).

fof(f2972,plain,
    ! [X0] : star(X0) = addition(one,star(X0)),
    inference(superposition,[],[f185,f336]) ).

fof(f3024,plain,
    sF3 = addition(one,sF3),
    inference(superposition,[],[f2972,f39]) ).

fof(f3046,plain,
    sF3 = addition(sF3,one),
    inference(forward_demodulation,[],[f3024,f4]) ).

fof(f3049,plain,
    multiplication(sF3,sF5) = addition(sF5,sF6),
    inference(backward_demodulation,[],[f528,f3046]) ).

fof(f3050,plain,
    sF6 = addition(sF5,sF6),
    inference(forward_demodulation,[],[f3049,f45]) ).

fof(f3052,plain,
    sF6 = addition(sF2,sF6),
    inference(superposition,[],[f1964,f3050]) ).

fof(f3074,plain,
    true = ifeq3(sF6,sF6,sF7,true),
    inference(backward_demodulation,[],[f228,f3052]) ).

fof(f3075,plain,
    true = sF7,
    inference(forward_demodulation,[],[f3074,f1]) ).

fof(f3076,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3075,f48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : KLE169-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49  % Computer : n016.cluster.edu
% 0.21/0.49  % Model    : x86_64 x86_64
% 0.21/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.49  % Memory   : 8046.5625MB
% 0.21/0.49  % OS       : Linux 6.8.0-71-generic
% 0.21/0.49  % CPULimit : 300
% 0.21/0.49  % WCLimit  : 300
% 0.21/0.49  % DateTime : Sun Sep 27 13:19:02 UTC 2026
% 0.21/0.49  % CPUTime  : 
% 0.21/0.49  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.55  Running first-order theorem proving
% 0.26/0.55  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
% 18.57/3.75  % (2638698)Detected a unit-equality problem, will run specialized UEQ schedule.
% 18.57/3.75  % (2638707)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2288604922:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 18.57/3.75  % (2638704)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=2721949055:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 18.57/3.75  % (2638705)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1719205038:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 18.57/3.75  % (2638706)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2839411840:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 18.57/3.75  % (2638703)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=4166898833:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 18.57/3.75  % (2638708)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1338809563:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 18.57/3.75  % (2638709)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3676552868:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 18.57/3.75  % (2638707)Instruction limit reached! 
% 18.57/3.75  % (2638707)------------------------------
% 18.57/3.75  % (2638707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.75  % (2638707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.75  % (2638707)CaDiCaL version: 2.1.3
% 18.57/3.75  % (2638707)Termination reason: Instruction limit
% 18.57/3.75  % (2638707)Termination phase: Saturation
% 18.57/3.75  % (2638707)Time elapsed: 0.093 s
% 18.57/3.75  % (2638707)Peak memory usage: 89 MB
% 18.57/3.75  % (2638707)Instructions burned: 182 (million)
% 18.57/3.75  % (2638706)Instruction limit reached! 
% 18.57/3.75  % (2638706)------------------------------
% 18.57/3.75  % (2638706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.75  % (2638706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.75  % (2638706)CaDiCaL version: 2.1.3
% 18.57/3.75  % (2638706)Termination reason: Instruction limit
% 18.57/3.75  % (2638706)Termination phase: Saturation
% 18.57/3.75  % (2638706)Time elapsed: 0.133 s
% 18.57/3.75  % (2638706)Peak memory usage: 88 MB
% 18.57/3.75  % (2638706)Instructions burned: 137 (million)
% 18.57/3.75  % (2638708)Instruction limit reached! 
% 18.57/3.75  % (2638708)------------------------------
% 18.57/3.75  % (2638708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.75  % (2638708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.75  % (2638708)CaDiCaL version: 2.1.3
% 18.57/3.75  % (2638708)Termination reason: Instruction limit
% 18.57/3.75  % (2638708)Termination phase: Saturation
% 18.57/3.75  % (2638708)Time elapsed: 0.230 s
% 18.57/3.75  % (2638708)Peak memory usage: 89 MB
% 18.57/3.75  % (2638708)Instructions burned: 257 (million)
% 18.57/3.75  % (2638717)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3215672007:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 18.57/3.75  % (2638718)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2757237870:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 18.57/3.75  % (2638719)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4066885198:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 18.57/3.75  % (2638719)Instruction limit reached! 
% 18.57/3.75  % (2638719)------------------------------
% 18.57/3.75  % (2638719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.75  % (2638719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.75  % (2638719)CaDiCaL version: 2.1.3
% 18.57/3.75  % (2638719)Termination reason: Instruction limit
% 18.57/3.75  % (2638719)Termination phase: Saturation
% 18.57/3.75  % (2638719)Time elapsed: 0.203 s
% 18.57/3.76  % (2638719)Peak memory usage: 91 MB
% 18.57/3.76  % (2638719)Instructions burned: 216 (million)
% 18.57/3.76  % (2638723)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=3920184712:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 18.57/3.76  % (2638709)Instruction limit reached! 
% 18.57/3.76  % (2638709)------------------------------
% 18.57/3.76  % (2638709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.76  % (2638709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.76  % (2638709)CaDiCaL version: 2.1.3
% 18.57/3.76  % (2638709)Termination reason: Instruction limit
% 18.57/3.76  % (2638709)Termination phase: Saturation
% 18.57/3.76  % (2638709)Time elapsed: 1.066 s
% 18.57/3.76  % (2638709)Peak memory usage: 98 MB
% 18.57/3.76  % (2638709)Instructions burned: 1188 (million)
% 18.57/3.76  % (2638725)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=2337248027:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 18.57/3.76  % (2638723)Instruction limit reached! 
% 18.57/3.76  % (2638723)------------------------------
% 18.57/3.76  % (2638723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.76  % (2638723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.76  % (2638723)CaDiCaL version: 2.1.3
% 18.57/3.76  % (2638723)Termination reason: Instruction limit
% 18.57/3.76  % (2638723)Termination phase: Saturation
% 18.57/3.76  % (2638723)Time elapsed: 0.329 s
% 18.57/3.76  % (2638723)Peak memory usage: 93 MB
% 18.57/3.76  % (2638723)Instructions burned: 318 (million)
% 18.57/3.76  % (2638717)Instruction limit reached! 
% 18.57/3.76  % (2638717)------------------------------
% 18.57/3.76  % (2638717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.76  % (2638717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.76  % (2638717)CaDiCaL version: 2.1.3
% 18.57/3.76  % (2638717)Termination reason: Instruction limit
% 18.57/3.76  % (2638717)Termination phase: Saturation
% 18.57/3.76  % (2638717)Time elapsed: 1.153 s
% 18.57/3.76  % (2638717)Peak memory usage: 142 MB
% 18.57/3.76  % (2638717)Instructions burned: 2052 (million)
% 18.57/3.76  % (2638728)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3085101709:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 18.57/3.76  % (2638727)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4140043623:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 18.57/3.76  % (2638705)First to succeed.
% 18.57/3.76  % (2638705)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2638698"
% 18.57/3.76  % (2638705)Refutation found. Thanks to Tanya!
% 18.57/3.76  % SZS status Unsatisfiable for theBenchmark
% 18.57/3.76  % SZS output start Proof for theBenchmark
% See solution above
% 19.24/4.08  % (2638705)------------------------------
% 19.24/4.08  % (2638705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/4.08  % (2638705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/4.08  % (2638705)CaDiCaL version: 2.1.3
% 19.24/4.08  % (2638705)Termination reason: Refutation
% 19.24/4.08  % (2638705)Time elapsed: 1.855 s
% 19.24/4.08  % (2638705)Peak memory usage: 136 MB
% 19.24/4.08  % (2638705)Instructions burned: 1700 (million)
% 19.24/4.08  % (2638705)------------------------------
% 19.24/4.08  % (2638705)------------------------------
% 19.24/4.08  % (2638698)Success in time 2.584 s
% 19.24/4.08  % Vampire exiting
%------------------------------------------------------------------------------