TSTP Solution File: SYN083+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:29:13 EDT 2024
% Result : Theorem 1.31s 1.24s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p61_1) ).
fof(f2,conjecture,
! [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel61) ).
fof(f3,negated_conjecture,
~ ! [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) != f(f(f(X0,X1),X2),X3),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) != f(f(f(X0,X1),X2),X3)
=> f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f4,f5]) ).
fof(f7,plain,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
inference(cnf_transformation,[],[f1]) ).
fof(f8,plain,
f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
inference(cnf_transformation,[],[f6]) ).
cnf(c_49,plain,
f(f(X0,X1),X2) = f(X0,f(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
cnf(c_50,negated_conjecture,
f(f(f(sK0,sK1),sK2),sK3) != f(sK0,f(sK1,f(sK2,sK3))),
inference(cnf_transformation,[],[f8]) ).
cnf(c_56,plain,
f(sK0,f(sK1,f(sK2,sK3))) != f(sK0,f(sK1,f(sK2,sK3))),
inference(demodulation,[status(thm)],[c_50,c_49]) ).
cnf(c_57,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:22:42 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.31/1.24 % SZS status Started for theBenchmark.p
% 1.31/1.24 % SZS status Theorem for theBenchmark.p
% 1.31/1.24
% 1.31/1.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.31/1.24
% 1.31/1.24 ------ iProver source info
% 1.31/1.24
% 1.31/1.24 git: date: 2024-05-02 19:28:25 +0000
% 1.31/1.24 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.31/1.24 git: non_committed_changes: false
% 1.31/1.24
% 1.31/1.24 ------ Parsing...
% 1.31/1.24 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.31/1.24
% 1.31/1.24 ------ Preprocessing...
% 1.31/1.24
% 1.31/1.24 % SZS status Theorem for theBenchmark.p
% 1.31/1.24
% 1.31/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.31/1.24
% 1.31/1.24
%------------------------------------------------------------------------------