%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD033-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 09:49:38 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 13 unt; 2 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
product(m,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(multiplicative_identity,m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_5) ).
fof(f37,plain,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f45,plain,
sum(additive_identity,a,additive_identity),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f81,definition,
( spl0_6
<=> defined(a) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f83,plain,
( ~ defined(a)
| spl0_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f87,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f83,f27]) ).
fof(f88,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f87]) ).
fof(f510,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,multiplicative_identity)
| ~ product(X1,m,X2)
| ~ product(X0,X2,multiplicative_identity) ),
inference(resolution,[],[f7,f31]) ).
fof(f1110,plain,
! [X0,X1] :
( ~ product(X0,X1,multiplicative_identity)
| ~ product(X1,m,X1) ),
inference(factoring,[],[f510]) ).
fof(f1131,plain,
! [X0,X1] :
( ~ product(X1,X0,multiplicative_identity)
| ~ product(m,X0,X0) ),
inference(resolution,[],[f1110,f10]) ).
fof(f1147,plain,
! [X0] : ~ product(X0,a,multiplicative_identity),
inference(resolution,[],[f1131,f30]) ).
fof(f1157,plain,
( ~ sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f1147,f37]) ).
fof(f1159,definition,
( spl0_73
<=> sum(additive_identity,a,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f1161,plain,
( ~ sum(additive_identity,a,additive_identity)
| spl0_73 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1162,plain,
( ~ spl0_6
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1157,f1159,f81]) ).
fof(f1167,plain,
( $false
| spl0_73 ),
inference(resolution,[],[f1161,f45]) ).
fof(f1171,plain,
spl0_73,
inference(avatar_contradiction_clause,[],[f1167]) ).
cnf(s5,plain,
spl0_6,
inference(sat_conversion,[],[f88]) ).
cnf(s95,plain,
( ~ spl0_6
| ~ spl0_73 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s96,plain,
spl0_73,
inference(sat_conversion,[],[f1171]) ).
cnf(s97,plain,
~ spl0_6,
inference(rat,[],[s95,s96]) ).
cnf(s104,plain,
$false,
inference(rat,[],[s5,s97]) ).
fof(f1172,plain,
$false,
inference(avatar_sat_refutation,[],[s104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD033-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n010.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 00:31:48 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24 Running first-order model finding
% 0.07/0.24 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
% 0.20/0.31 % (2515609)Will run a generic schedule for satisfiability detection.
% 0.20/0.31 % (2515617)dis+10_1_sil=32000:sp=arity:random_seed=4138845914:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31 % (2515615)% WARNING: option uhcvi not known.
% 0.20/0.31 % (2515615)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=353945258:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31 % (2515614)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2513553284_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31 % (2515616)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2425140512:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31 % (2515618)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1108056826:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31 % (2515619)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1448885384:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31 % (2515620)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=737925710:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31 % TRYING [1]
% 0.20/0.31 % TRYING [2]
% 0.20/0.31 % TRYING [3]
% 0.20/0.31 % TRYING [4]
% 0.20/0.31 % TRYING [5]
% 0.20/0.31 % (2515617)Instruction limit reached!
% 0.20/0.31 % (2515617)------------------------------
% 0.20/0.31 % (2515617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (2515617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (2515617)CaDiCaL version: 2.1.3
% 0.20/0.31 % (2515617)Termination reason: Instruction limit
% 0.20/0.31 % (2515617)Termination phase: Saturation
% 0.20/0.31 % (2515617)Time elapsed: 0.036 s
% 0.20/0.31 % (2515617)Peak memory usage: 12 MB
% 0.20/0.31 % (2515617)Instructions burned: 105 (million)
% 0.20/0.31 % (2515620) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2515609-2515620"...
% 0.20/0.31 % (2515620)...printing done.
% 0.20/0.31 % (2515620)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (2515620)------------------------------
% 0.20/0.31 % (2515620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (2515620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (2515620)CaDiCaL version: 2.1.3
% 0.20/0.31 % (2515620)Termination reason: Refutation
% 0.20/0.31 % (2515620)Time elapsed: 0.028 s
% 0.20/0.31 % (2515620)Peak memory usage: 13 MB
% 0.20/0.31 % (2515620)Instructions burned: 42 (million)
% 0.20/0.31 % (2515609)Success in time 0.062 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------