%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG038-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:35:49 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.59s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f25,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f27,axiom,
! [X0,X1] :
( ~ equalish(X0,additive_identity)
| product(X0,h(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_property) ).
fof(f30,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| ~ equalish(X2,X3) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( product(X0,X1,X3)
| product(X0,X1,X2)
| ~ equalish(X2,X3) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f49,plain,
! [X0] : ~ product(additive_identity,X0,additive_identity),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f51,plain,
! [X0,X1] :
( equalish(X0,additive_identity)
| ~ product(X0,h(X0,X1),X1) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f54,plain,
equalish(b,additive_identity),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f73,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f47,f10]) ).
fof(f82,plain,
! [X0] : ~ equalish(X0,X0),
inference(resolution,[],[f73,f10]) ).
fof(f85,plain,
! [X0] : ~ product(additive_identity,h(additive_identity,X0),X0),
inference(resolution,[],[f82,f51]) ).
fof(f153,plain,
! [X0,X1] :
( product(additive_identity,X0,X1)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f48,f49]) ).
fof(f169,plain,
! [X0] : ~ equalish(X0,additive_identity),
inference(resolution,[],[f153,f85]) ).
fof(f171,plain,
$false,
inference(resolution,[],[f169,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG038-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.45 % Computer : n002.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 23:03:51 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.51 Running first-order model finding
% 0.19/0.51 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
% 0.23/0.59 % (3993257)Will run a generic schedule for satisfiability detection.
% 0.23/0.59 % (3993267)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3666139853:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.59 % (3993268)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=46691102:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.59 % (3993262)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=178675091_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.59 % (3993266)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2539274073:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.59 % (3993265)dis+10_1_sil=32000:sp=arity:random_seed=79790200:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.59 % (3993264)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4036871969:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.59 % TRYING [1]
% 0.23/0.59 % TRYING [2]
% 0.23/0.59 % TRYING [3]
% 0.23/0.59 % (3993268) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3993257-3993268"...
% 0.23/0.59 % (3993263)% WARNING: option uhcvi not known.
% 0.23/0.59 % (3993268)...printing done.
% 0.23/0.59 % (3993265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3993257-3993265"...
% 0.23/0.59 % (3993268)Refutation found. Thanks to Tanya!
% 0.23/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.59 % (3993268)------------------------------
% 0.23/0.59 % (3993268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.59 % (3993268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.59 % (3993268)CaDiCaL version: 2.1.3
% 0.23/0.59 % (3993268)Termination reason: Refutation
% 0.23/0.59 % (3993268)Time elapsed: 0.007 s
% 0.23/0.59 % (3993268)Peak memory usage: 11 MB
% 0.23/0.59 % (3993268)Instructions burned: 5 (million)
% 0.23/0.59 % (3993257)Success in time 0.065 s
% 0.23/0.59 % Vampire exiting
%------------------------------------------------------------------------------