%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:35:43 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 4 ( 4 unt; 0 def)
% Number of atoms : 4 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG004-0.ax',left_alternative) ).
fof(f24,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X0) != multiply(X0,multiply(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',middle_law) ).
fof(f242,plain,
! [X0] : multiply(X0,multiply(X0,X0)) != multiply(X0,multiply(X0,X0)),
inference(superposition,[],[f24,f13]) ).
fof(f245,plain,
$false,
inference(trivial_inequality_removal,[],[f242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 22:59:17 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.49 % (1400944)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (1400951)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=819760284:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (1400950)% WARNING: option uhcvi not known.
% 0.17/0.49 % (1400953)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4161518768:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (1400949)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2386708545_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (1400952)dis+10_1_sil=32000:sp=arity:random_seed=3428795115:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (1400950)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1812492514:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (1400954)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3489478343:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % (1400955)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1391406189:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % (1400950) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1400944-1400950"...
% 0.17/0.49 % (1400952) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1400944-1400952"...
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (1400953) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1400944-1400953"...
% 0.17/0.49 % (1400952)...printing done.
% 0.17/0.49 % (1400950)...printing done.
% 0.17/0.49 % (1400953)...printing done.
% 0.17/0.49 % (1400952)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (1400952)------------------------------
% 0.17/0.49 % (1400952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (1400952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (1400952)CaDiCaL version: 2.1.3
% 0.17/0.49 % (1400952)Termination reason: Refutation
% 0.17/0.49 % (1400952)Time elapsed: 0.006 s
% 0.17/0.49 % (1400952)Peak memory usage: 11 MB
% 0.17/0.49 % (1400952)Instructions burned: 8 (million)
% 0.17/0.49 % (1400944)Success in time 0.048 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------