%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN134-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:27:11 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 77 unt; 0 def)
% Number of atoms : 77 ( 76 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 44 ( 44 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_comm) ).
fof(f2,axiom,
! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_assoc) ).
fof(f3,axiom,
! [X0,X1] : times(X0,X1) = times(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_comm) ).
fof(f5,axiom,
! [X0] : '+'(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_zero) ).
fof(f6,axiom,
! [X0] : times(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_zero) ).
fof(f7,plain,
! [X0] : zero = times(X0,zero),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0] : times(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_one) ).
fof(f9,axiom,
! [X2,X0,X1] : times(X0,'+'(X1,X2)) = '+'(times(X0,X1),times(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distr) ).
fof(f10,axiom,
! [X2,X0,X1] : times('+'(X0,X1),X2) = '+'(times(X0,X2),times(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distr_001) ).
fof(f11,axiom,
! [X0,X1] : '+'(s(X0),X1) = s('+'(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_s) ).
fof(f12,axiom,
! [X0,X1] : times(s(X0),X1) = '+'(X1,times(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_s) ).
fof(f15,axiom,
! [X0] : sum(s(X0)) = '+'(s(X0),sum(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_s) ).
fof(f16,axiom,
'+'(sum(a),sum(a)) = times(a,s(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction_hypothesis) ).
fof(f17,negated_conjecture,
'+'(sum(s(a)),sum(s(a))) != times(s(a),s(s(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f21,plain,
! [X0] : '+'(zero,X0) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f32,plain,
! [X0] : zero = times(zero,X0),
inference(superposition,[],[f7,f3]) ).
fof(f41,plain,
! [X0] : s(X0) = '+'(s(zero),X0),
inference(superposition,[],[f11,f21]) ).
fof(f46,plain,
! [X0,X1] : sum('+'(s(X0),X1)) = '+'('+'(s(X0),X1),sum('+'(X0,X1))),
inference(superposition,[],[f15,f11]) ).
fof(f49,plain,
! [X0,X1] : sum('+'(s(X0),X1)) = '+'(s(X0),'+'(X1,sum('+'(X0,X1)))),
inference(forward_demodulation,[],[f46,f2]) ).
fof(f80,plain,
! [X0] : s(X0) = '+'(one,times(X0,one)),
inference(superposition,[],[f8,f12]) ).
fof(f82,plain,
! [X0,X1] : '+'(X0,times(X1,X0)) = times(X0,s(X1)),
inference(superposition,[],[f3,f12]) ).
fof(f83,plain,
! [X0] : s(X0) = '+'(one,X0),
inference(forward_demodulation,[],[f80,f8]) ).
fof(f96,plain,
! [X0,X1] : '+'(s(X0),X1) = '+'(one,'+'(X0,X1)),
inference(superposition,[],[f11,f83]) ).
fof(f98,plain,
one = s(zero),
inference(superposition,[],[f5,f83]) ).
fof(f104,plain,
! [X0,X1] : '+'(s(X0),X1) = '+'(s(zero),'+'(X0,X1)),
inference(forward_demodulation,[],[f96,f98]) ).
fof(f153,plain,
! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'(X2,'+'(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f268,plain,
! [X2,X0,X1] : '+'(times(X0,X1),times(X0,X2)) = times('+'(X1,X2),X0),
inference(superposition,[],[f3,f9]) ).
fof(f272,plain,
! [X2,X0,X1] : '+'(times(s(X0),X1),times(s(X0),X2)) = '+'('+'(X1,X2),times(X0,'+'(X1,X2))),
inference(superposition,[],[f12,f9]) ).
fof(f273,plain,
! [X2,X0,X1] : '+'(times(s(X0),X1),times(s(X0),X2)) = '+'(X1,'+'(X2,times(X0,'+'(X1,X2)))),
inference(forward_demodulation,[],[f272,f2]) ).
fof(f288,plain,
! [X2,X0,X1] : '+'(times(s(X0),X1),times(s(X0),X2)) = '+'(X1,'+'(X2,'+'(times(X0,X1),times(X0,X2)))),
inference(forward_demodulation,[],[f273,f9]) ).
fof(f298,plain,
! [X2,X0,X1] : '+'(X1,'+'(X2,'+'(times(X0,X1),times(X0,X2)))) = '+'(times(s(X0),X1),'+'(X2,times(X0,X2))),
inference(forward_demodulation,[],[f288,f12]) ).
fof(f304,plain,
! [X2,X0,X1] : '+'(X1,'+'(X2,'+'(times(X0,X1),times(X0,X2)))) = '+'('+'(X1,times(X0,X1)),'+'(X2,times(X0,X2))),
inference(forward_demodulation,[],[f298,f12]) ).
fof(f307,plain,
! [X2,X0,X1] : '+'(X1,'+'(X2,'+'(times(X0,X1),times(X0,X2)))) = '+'(X1,'+'(times(X0,X1),'+'(X2,times(X0,X2)))),
inference(forward_demodulation,[],[f304,f2]) ).
fof(f461,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(sum('+'(s(zero),a)),sum('+'(s(zero),a))),
inference(superposition,[],[f17,f41]) ).
fof(f472,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'('+'(s(zero),'+'(a,sum('+'(zero,a)))),'+'(s(zero),'+'(a,sum('+'(zero,a))))),
inference(forward_demodulation,[],[f461,f49]) ).
fof(f479,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'('+'(a,sum('+'(zero,a))),'+'('+'(s(zero),'+'(a,sum('+'(zero,a)))),s(zero))),
inference(forward_demodulation,[],[f472,f153]) ).
fof(f484,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(s(zero),'+'('+'(a,sum('+'(zero,a))),'+'(s(zero),'+'(a,sum('+'(zero,a)))))),
inference(forward_demodulation,[],[f479,f153]) ).
fof(f488,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(s(zero),'+'(s(zero),'+'('+'(a,sum('+'(zero,a))),'+'(a,sum('+'(zero,a)))))),
inference(forward_demodulation,[],[f484,f153]) ).
fof(f490,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(s(zero),'+'(s(zero),'+'(sum('+'(zero,a)),'+'('+'(a,sum('+'(zero,a))),a)))),
inference(forward_demodulation,[],[f488,f153]) ).
fof(f491,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(sum('+'(zero,a)),'+'(a,sum('+'(zero,a))))))),
inference(forward_demodulation,[],[f490,f153]) ).
fof(f492,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(sum('+'(zero,a)),sum('+'(zero,a))))))),
inference(forward_demodulation,[],[f491,f153]) ).
fof(f493,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(forward_demodulation,[],[f492,f21]) ).
fof(f494,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,times(a,s(a)))))),
inference(forward_demodulation,[],[f493,f16]) ).
fof(f495,plain,
times('+'(s(zero),a),s('+'(s(zero),a))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))),
inference(forward_demodulation,[],[f494,f82]) ).
fof(f496,plain,
'+'(times(s(zero),s('+'(s(zero),a))),times(a,s('+'(s(zero),a)))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))),
inference(forward_demodulation,[],[f495,f10]) ).
fof(f497,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(times(s(zero),s('+'(s(zero),a))),'+'(a,times('+'(s(zero),a),a))),
inference(forward_demodulation,[],[f496,f82]) ).
fof(f498,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'('+'(a,times('+'(s(zero),a),a)),times(s(zero),s('+'(s(zero),a)))),
inference(forward_demodulation,[],[f497,f1]) ).
fof(f499,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(a,'+'(times('+'(s(zero),a),a),times(s(zero),s('+'(s(zero),a))))),
inference(forward_demodulation,[],[f498,f2]) ).
fof(f500,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(a,'+'(times('+'(s(zero),a),a),'+'(s('+'(s(zero),a)),times(zero,s('+'(s(zero),a)))))),
inference(forward_demodulation,[],[f499,f12]) ).
fof(f501,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(a,'+'(times('+'(s(zero),a),a),'+'(s(zero),'+'('+'(s(zero),a),times(zero,s('+'(s(zero),a))))))),
inference(forward_demodulation,[],[f500,f104]) ).
fof(f502,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(a,'+'(times('+'(s(zero),a),a),'+'(s(zero),'+'(s(zero),'+'(a,times(zero,s('+'(s(zero),a)))))))),
inference(forward_demodulation,[],[f501,f2]) ).
fof(f503,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(a,'+'(times('+'(s(zero),a),a),'+'(s(zero),'+'(s(zero),'+'(a,'+'(zero,times('+'(s(zero),a),zero))))))),
inference(forward_demodulation,[],[f502,f82]) ).
fof(f504,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'('+'(s(zero),'+'(s(zero),'+'(a,'+'(zero,times('+'(s(zero),a),zero))))),'+'(a,times('+'(s(zero),a),a))),
inference(forward_demodulation,[],[f503,f153]) ).
fof(f505,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'('+'(s(zero),'+'(a,'+'(zero,times('+'(s(zero),a),zero)))),'+'(a,times('+'(s(zero),a),a)))),
inference(forward_demodulation,[],[f504,f2]) ).
fof(f506,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'('+'(a,'+'(zero,times('+'(s(zero),a),zero))),'+'(a,times('+'(s(zero),a),a))))),
inference(forward_demodulation,[],[f505,f2]) ).
fof(f507,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'('+'(zero,times('+'(s(zero),a),zero)),'+'(a,times('+'(s(zero),a),a)))))),
inference(forward_demodulation,[],[f506,f2]) ).
fof(f508,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(zero,'+'(times('+'(s(zero),a),zero),'+'(a,times('+'(s(zero),a),a))))))),
inference(forward_demodulation,[],[f507,f2]) ).
fof(f509,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(zero,'+'(a,'+'(times('+'(s(zero),a),zero),times('+'(s(zero),a),a))))))),
inference(forward_demodulation,[],[f508,f307]) ).
fof(f510,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times('+'(s(zero),a),zero),times('+'(s(zero),a),a)))))),
inference(forward_demodulation,[],[f509,f21]) ).
fof(f511,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,times('+'(zero,a),'+'(s(zero),a)))))),
inference(forward_demodulation,[],[f510,f268]) ).
fof(f512,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,'+'(s(zero),a)),times(a,'+'(s(zero),a))))))),
inference(forward_demodulation,[],[f511,f10]) ).
fof(f513,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,'+'(s(zero),a)),'+'(times(a,s(zero)),times(a,a))))))),
inference(forward_demodulation,[],[f512,f9]) ).
fof(f514,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,'+'(s(zero),a)),'+'(times(s(zero),a),times(a,a))))))),
inference(forward_demodulation,[],[f513,f3]) ).
fof(f515,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,'+'(s(zero),a)),'+'('+'(a,times(zero,a)),times(a,a))))))),
inference(forward_demodulation,[],[f514,f12]) ).
fof(f516,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,'+'(s(zero),a)),'+'(a,'+'(times(zero,a),times(a,a)))))))),
inference(forward_demodulation,[],[f515,f2]) ).
fof(f517,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,'+'(s(zero),a)),'+'(a,'+'(zero,times(a,a)))))))),
inference(forward_demodulation,[],[f516,f32]) ).
fof(f518,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,'+'(s(zero),a)),'+'(a,times(a,a))))))),
inference(forward_demodulation,[],[f517,f21]) ).
fof(f519,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'('+'(times(zero,s(zero)),times(zero,a)),'+'(a,times(a,a))))))),
inference(forward_demodulation,[],[f518,f9]) ).
fof(f520,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,s(zero)),'+'(times(zero,a),'+'(a,times(a,a)))))))),
inference(forward_demodulation,[],[f519,f2]) ).
fof(f521,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,s(zero)),'+'(zero,'+'(a,times(a,a)))))))),
inference(forward_demodulation,[],[f520,f32]) ).
fof(f522,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,s(zero)),'+'(a,times(a,a))))))),
inference(forward_demodulation,[],[f521,f21]) ).
fof(f523,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'('+'(zero,times(zero,zero)),'+'(a,times(a,a))))))),
inference(forward_demodulation,[],[f522,f82]) ).
fof(f524,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(zero,'+'(times(zero,zero),'+'(a,times(a,a)))))))),
inference(forward_demodulation,[],[f523,f2]) ).
fof(f525,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(times(zero,zero),'+'(a,times(a,a))))))),
inference(forward_demodulation,[],[f524,f21]) ).
fof(f526,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(zero,'+'(a,times(a,a))))))),
inference(forward_demodulation,[],[f525,f7]) ).
fof(f527,plain,
'+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))) != '+'(s(zero),'+'(s(zero),'+'(a,'+'(a,'+'(a,times(a,a)))))),
inference(forward_demodulation,[],[f526,f21]) ).
fof(f528,plain,
$false,
inference(trivial_inequality_removal,[],[f527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN134-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n026.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 22:08:41 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % (3259805)Will run a generic schedule for satisfiability detection.
% 0.19/0.53 % (3259811)% WARNING: option uhcvi not known.
% 0.19/0.53 % (3259811)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3011247715:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.53 % (3259810)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3831303443_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.53 % TRYING [1]
% 0.19/0.53 % TRYING [2]
% 0.19/0.53 % TRYING [3]
% 0.19/0.53 % TRYING [4]
% 0.19/0.53 % (3259813)dis+10_1_sil=32000:sp=arity:random_seed=1942239091:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.53 % (3259816)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4012175193:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.53 % (3259815)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4106165536:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.53 % (3259814)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3223067942:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.53 % (3259812)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3704678248:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.53 % (3259815) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3259805-3259815"...
% 0.19/0.53 % (3259815)...printing done.
% 0.19/0.53 % TRYING [5]
% 0.19/0.53 % (3259815)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (3259815)------------------------------
% 0.19/0.54 % (3259815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.54 % (3259815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.54 % (3259815)CaDiCaL version: 2.1.3
% 0.19/0.54 % (3259815)Termination reason: Refutation
% 0.19/0.54 % (3259815)Time elapsed: 0.024 s
% 0.19/0.54 % (3259815)Peak memory usage: 11 MB
% 0.19/0.54 % (3259815)Instructions burned: 24 (million)
% 0.19/0.54 % (3259805)Success in time 0.062 s
% 0.19/0.54 % Vampire exiting
%------------------------------------------------------------------------------