%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG007-4 : 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 : n003.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 12:35:41 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.49s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',left_additive_inverse) ).
fof(f3,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f8,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',additive_inverse_additive_inverse) ).
fof(f14,axiom,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse1) ).
fof(f15,axiom,
! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse2) ).
fof(f16,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(reorient_equations,[],[f15]) ).
fof(f18,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',commutative_addition) ).
fof(f20,axiom,
! [X0] : multiply(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolean_ring) ).
fof(f21,negated_conjecture,
add(a,a) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse) ).
fof(f22,plain,
additive_identity != add(a,a),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f3,f18]) ).
fof(f43,plain,
! [X0] : additive_inverse(X0) = multiply(X0,additive_inverse(X0)),
inference(superposition,[],[f14,f20]) ).
fof(f72,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = multiply(additive_inverse(X0),additive_inverse(X0)),
inference(superposition,[],[f16,f43]) ).
fof(f76,plain,
! [X0] : additive_inverse(X0) = additive_inverse(additive_inverse(X0)),
inference(forward_demodulation,[],[f72,f20]) ).
fof(f81,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[],[f76,f8]) ).
fof(f123,plain,
! [X0] : additive_identity = add(X0,X0),
inference(superposition,[],[f23,f81]) ).
fof(f175,plain,
additive_identity != additive_identity,
inference(superposition,[],[f22,f123]) ).
fof(f176,plain,
$false,
inference(trivial_inequality_removal,[],[f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG007-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n003.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 22:59:57 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.45 Running first-order model finding
% 0.14/0.45 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
% 0.14/0.49 % (1023384)Will run a generic schedule for satisfiability detection.
% 0.14/0.49 % (1023394)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2164767004:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.49 % (1023394) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1023384-1023394"...
% 0.14/0.49 % (1023394)...printing done.
% 0.14/0.49 % (1023394)Refutation found. Thanks to Tanya!
% 0.14/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.49 % (1023394)------------------------------
% 0.14/0.49 % (1023394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.49 % (1023394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.49 % (1023394)CaDiCaL version: 2.1.3
% 0.14/0.49 % (1023394)Termination reason: Refutation
% 0.14/0.49 % (1023394)Time elapsed: 0.004 s
% 0.14/0.49 % (1023394)Peak memory usage: 11 MB
% 0.14/0.49 % (1023394)Instructions burned: 5 (million)
% 0.14/0.49 % (1023384)Success in time 0.027 s
% 0.14/0.49 % Vampire exiting
%------------------------------------------------------------------------------