%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ROB009-1 : 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 : n018.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 12:36:20 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f4,axiom,
negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
fof(f5,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).
fof(f9,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f2,f1]) ).
fof(f15,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f130,plain,
b = negate(add(negate(add(add(a,c),b)),negate(add(a,negate(add(b,c)))))),
inference(superposition,[],[f15,f4]) ).
fof(f136,plain,
b = negate(add(negate(add(b,add(a,c))),negate(add(a,negate(add(b,c)))))),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f148,plain,
b = negate(add(negate(add(a,add(c,b))),negate(add(a,negate(add(b,c)))))),
inference(forward_demodulation,[],[f136,f9]) ).
fof(f153,plain,
b = negate(add(negate(add(a,add(b,c))),negate(add(a,negate(add(b,c)))))),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f156,plain,
a = b,
inference(forward_demodulation,[],[f153,f3]) ).
fof(f157,plain,
$false,
inference(forward_subsumption_resolution,[],[f156,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:28:24 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.46 % (2846824)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (2846832)dis+10_1_sil=32000:sp=arity:random_seed=594742423:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (2846832) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2846824-2846832"...
% 0.12/0.46 % (2846832)...printing done.
% 0.12/0.46 % (2846832)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (2846832)------------------------------
% 0.12/0.46 % (2846832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (2846832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (2846832)CaDiCaL version: 2.1.3
% 0.12/0.46 % (2846832)Termination reason: Refutation
% 0.12/0.46 % (2846832)Time elapsed: 0.003 s
% 0.12/0.46 % (2846832)Peak memory usage: 11 MB
% 0.12/0.46 % (2846832)Instructions burned: 8 (million)
% 0.12/0.46 % (2846824)Success in time 0.03 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------