%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG023-7 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:35:45 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_multiplicative_zero) ).
fof(f6,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(reorient_equations,[],[f5]) ).
fof(f9,axiom,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).
fof(f10,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',distribute1) ).
fof(f17,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_alternative) ).
fof(f18,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associator) ).
fof(f24,axiom,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product2) ).
fof(f25,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(reorient_equations,[],[f24]) ).
fof(f30,negated_conjecture,
associator(x,x,y) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_alternative) ).
fof(f31,plain,
additive_identity != associator(x,x,y),
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
additive_identity != add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))),
inference(definition_unfolding,[],[f31,f18]) ).
fof(f58,plain,
additive_identity != add(multiply(multiply(x,x),y),multiply(x,additive_inverse(multiply(x,y)))),
inference(superposition,[],[f32,f25]) ).
fof(f66,plain,
additive_identity != add(multiply(multiply(x,x),y),multiply(x,multiply(x,additive_inverse(y)))),
inference(forward_demodulation,[],[f58,f25]) ).
fof(f72,plain,
additive_identity != add(multiply(x,multiply(x,y)),multiply(x,multiply(x,additive_inverse(y)))),
inference(forward_demodulation,[],[f66,f17]) ).
fof(f73,plain,
additive_identity != multiply(x,add(multiply(x,y),multiply(x,additive_inverse(y)))),
inference(forward_demodulation,[],[f72,f12]) ).
fof(f74,plain,
additive_identity != multiply(x,multiply(x,add(y,additive_inverse(y)))),
inference(forward_demodulation,[],[f73,f12]) ).
fof(f75,plain,
additive_identity != multiply(x,multiply(x,additive_identity)),
inference(forward_demodulation,[],[f74,f10]) ).
fof(f76,plain,
additive_identity != multiply(x,additive_identity),
inference(forward_demodulation,[],[f75,f6]) ).
fof(f77,plain,
$false,
inference(forward_subsumption_resolution,[],[f76,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG023-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n008.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:59:54 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.18/0.48 % (1708601)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1708606)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=871524721_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % (1708607)% WARNING: option uhcvi not known.
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % (1708610)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4215160406:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (1708607)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1089583199:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1708608)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1988953622:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1708609)dis+10_1_sil=32000:sp=arity:random_seed=1006952930:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1708610) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1708601-1708610"...
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % (1708610)...printing done.
% 0.18/0.48 % (1708607) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1708601-1708607"...
% 0.18/0.48 % (1708610)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (1708610)------------------------------
% 0.18/0.48 % (1708610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (1708610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (1708610)CaDiCaL version: 2.1.3
% 0.18/0.48 % (1708610)Termination reason: Refutation
% 0.18/0.48 % (1708610)Time elapsed: 0.003 s
% 0.18/0.48 % (1708610)Peak memory usage: 12 MB
% 0.18/0.48 % (1708610)Instructions burned: 3 (million)
% 0.18/0.48 % (1708601)Success in time 0.04 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------