%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG041-1 : 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 : 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 12:35:50 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 31 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication1) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).
fof(f18,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f20,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_identity) ).
fof(f22,axiom,
! [X0] :
( product(X0,h(X0),multiplicative_identity)
| X0 = additive_identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f23,plain,
! [X0] :
( product(X0,h(X0),multiplicative_identity)
| additive_identity = X0 ),
inference(reorient_equations,[],[f22]) ).
fof(f26,negated_conjecture,
product(a,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f27,negated_conjecture,
a != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
fof(f28,plain,
additive_identity != a,
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
b != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
fof(f30,plain,
additive_identity != b,
inference(reorient_equations,[],[f29]) ).
fof(f48,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f17,f20]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ product(b,X0,X1)
| ~ product(additive_identity,X0,X2)
| product(a,X1,X2) ),
inference(resolution,[],[f10,f26]) ).
fof(f84,plain,
! [X0] :
( ~ product(additive_identity,h(b),X0)
| product(a,multiplicative_identity,X0)
| additive_identity = b ),
inference(resolution,[],[f75,f23]) ).
fof(f85,plain,
! [X0] :
( ~ product(additive_identity,h(b),X0)
| product(a,multiplicative_identity,X0) ),
inference(forward_subsumption_resolution,[],[f84,f30]) ).
fof(f198,plain,
product(a,multiplicative_identity,additive_identity),
inference(resolution,[],[f85,f18]) ).
fof(f219,plain,
additive_identity = a,
inference(resolution,[],[f48,f198]) ).
fof(f232,plain,
$false,
inference(forward_subsumption_resolution,[],[f219,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG041-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:02:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.46 % (1405149)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (1405163)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4262443949:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (1405162)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=983237942:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (1405158)% WARNING: option uhcvi not known.
% 0.11/0.46 % (1405162) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1405149-1405162"...
% 0.11/0.46 % (1405162)...printing done.
% 0.11/0.46 % (1405162)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (1405162)------------------------------
% 0.11/0.46 % (1405162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (1405162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (1405162)CaDiCaL version: 2.1.3
% 0.11/0.46 % (1405162)Termination reason: Refutation
% 0.11/0.46 % (1405162)Time elapsed: 0.009 s
% 0.11/0.46 % (1405162)Peak memory usage: 11 MB
% 0.11/0.46 % (1405162)Instructions burned: 12 (million)
% 0.11/0.46 % (1405149)Success in time 0.037 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------