%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN083+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 : Fri Sep 25 03:39:09 PM UTC 2026
% Result : Theorem 1.33s 1.27s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 21 ( 0 sgn 17 !; 4 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
file('/export/starexec/sandbox/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/sandbox/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,[status(cth)],[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,
f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f4]) ).
fof(f6,plain,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
inference(cnf_transformation,[],[f1]) ).
fof(f7,plain,
f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),X2) = f(X0,f(X1,X2)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_50,negated_conjecture,
f(f(f(sK0,sK1),sK2),sK3) != f(sK0,f(sK1,f(sK2,sK3))),
inference(cnf_transformation,[],[f7]) ).
tcf(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]) ).
tcf(c_57,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN083+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 00:07:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.33/1.27 % SZS status Started for theBenchmark.p
% 1.33/1.27 % SZS status Theorem for theBenchmark.p
% 1.33/1.27
% 1.33/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.33/1.27
% 1.33/1.27 % ------ iProver source info
% 1.33/1.27
% 1.33/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.33/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.33/1.27 % git: non_committed_changes: false
% 1.33/1.27
% 1.33/1.27 % ------ Parsing...
% 1.33/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 1.33/1.27 %
% 1.33/1.27
% 1.33/1.27 % ------ Preprocessing...%
% 1.33/1.27
% 1.33/1.27 % SZS status Theorem for theBenchmark.p
% 1.33/1.27
% 1.33/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.33/1.27
% 1.33/1.27
%------------------------------------------------------------------------------