%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:35:54 AM UTC 2026
% Result : Unsatisfiable 3.67s 1.30s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f8,axiom,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f9,plain,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
inference(reorient_equations,[],[f8]) ).
fof(f11,axiom,
! [X0] : multiply(inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f12,plain,
! [X0] : additive_identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f14,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f15,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).
fof(f17,axiom,
add(x,y) = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_times_y) ).
fof(f18,negated_conjecture,
multiply(x,z) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum) ).
fof(f19,plain,
x != multiply(x,z),
inference(reorient_equations,[],[f18]) ).
fof(f71,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),X1) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[],[f3,f9]) ).
fof(f80,plain,
! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f71,f13]) ).
fof(f88,plain,
! [X0,X1] : add(X0,X1) = add(X1,multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f126,plain,
! [X0] : add(X0,inverse(X0)) = add(multiplicative_identity,X0),
inference(superposition,[],[f88,f14]) ).
fof(f136,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f126,f7]) ).
fof(f197,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(add(X0,inverse(X1)),X1),
inference(superposition,[],[f5,f12]) ).
fof(f210,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f197,f2]) ).
fof(f218,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f210,f15]) ).
fof(f265,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[],[f6,f13]) ).
fof(f310,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f265,f136]) ).
fof(f315,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f310,f13]) ).
fof(f478,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,X0),
inference(superposition,[],[f218,f7]) ).
fof(f508,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f478,f13]) ).
fof(f520,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f6,f508]) ).
fof(f529,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f520,f315]) ).
fof(f657,plain,
x = multiply(x,z),
inference(superposition,[],[f529,f17]) ).
fof(f681,plain,
$false,
inference(forward_subsumption_resolution,[],[f657,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.19 % Computer : n014.cluster.edu
% 0.13/0.19 % Model : x86_64 x86_64
% 0.13/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.19 % Memory : 8046.5625MB
% 0.13/0.19 % OS : Linux 6.8.0-71-generic
% 0.13/0.19 % CPULimit : 300
% 0.13/0.19 % WCLimit : 300
% 0.13/0.19 % DateTime : Mon Sep 28 21:04:15 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22 Running first-order theorem proving
% 0.13/0.22 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
% 3.67/1.30 % (2186454)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.67/1.30 % (2186463)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2944631990:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.67/1.30 % (2186462)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=57452079:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.67/1.30 % (2186461)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3378226149:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.67/1.30 % (2186459)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=1657453808:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.67/1.30 % (2186465)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4283207390:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.67/1.30 % (2186460)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=384107189:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.67/1.30 % (2186464)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=877656490:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.67/1.30 % (2186463)Instruction limit reached!
% 3.67/1.30 % (2186463)------------------------------
% 3.67/1.30 % (2186463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.30 % (2186463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.30 % (2186463)CaDiCaL version: 2.1.3
% 3.67/1.30 % (2186463)Termination reason: Instruction limit
% 3.67/1.30 % (2186463)Termination phase: Saturation
% 3.67/1.30 % (2186463)Time elapsed: 0.056 s
% 3.67/1.30 % (2186463)Peak memory usage: 89 MB
% 3.67/1.30 % (2186463)Instructions burned: 183 (million)
% 3.67/1.30 % (2186465)First to succeed.
% 3.67/1.30 % (2186465)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2186454"
% 3.67/1.30 % (2186462)Also succeeded, but the first one will report.
% 3.67/1.30 % (2186473)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3453050989:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 3.67/1.30 % (2186464)Instruction limit reached!
% 3.67/1.30 % (2186464)------------------------------
% 3.67/1.30 % (2186464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.30 % (2186464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.30 % (2186464)CaDiCaL version: 2.1.3
% 3.67/1.30 % (2186464)Termination reason: Instruction limit
% 3.67/1.30 % (2186464)Termination phase: Saturation
% 3.67/1.30 % (2186464)Time elapsed: 0.168 s
% 3.67/1.30 % (2186464)Peak memory usage: 90 MB
% 3.67/1.30 % (2186464)Instructions burned: 257 (million)
% 3.67/1.30 % (2186465)Refutation found. Thanks to Tanya!
% 3.67/1.30 % SZS status Unsatisfiable for theBenchmark
% 3.67/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.30 % (2186465)------------------------------
% 3.67/1.30 % (2186465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.30 % (2186465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.30 % (2186465)CaDiCaL version: 2.1.3
% 3.67/1.30 % (2186465)Termination reason: Refutation
% 3.67/1.30 % (2186465)Time elapsed: 0.014 s
% 3.67/1.30 % (2186465)Peak memory usage: 88 MB
% 3.67/1.30 % (2186465)Instructions burned: 22 (million)
% 3.67/1.30 % (2186465)------------------------------
% 3.67/1.30 % (2186465)------------------------------
% 3.67/1.30 % (2186454)Success in time 0.438 s
% 3.81/1.30 % Vampire exiting
%------------------------------------------------------------------------------