%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 03:39:08 PM UTC 2026
% Result : Unsatisfiable 0.51s 1.27s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 23 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( big_f(X0,f(a))
| ~ big_f(X0,b)
| big_f(a,f(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
( big_f(a,b)
| big_f(a,f(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f4,negated_conjecture,
! [X0] :
( big_f(a,b)
| ~ big_f(a,X0)
| big_f(g(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0] :
( ~ big_f(a,f(a))
| ~ big_f(a,X0)
| big_f(g(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( big_f(X1,f(a))
| ~ big_f(X1,b)
| ~ big_f(a,X0)
| ~ big_f(g(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f8,negated_conjecture,
! [X0] :
( ~ big_f(a,f(a))
| ~ big_f(a,X0)
| ~ big_f(g(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
tcf(c_57,negated_conjecture,
! [X0: $i] :
( big_f(a,f(a))
| big_f(X0,f(a))
| ~ big_f(X0,b) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
( big_f(a,b)
| big_f(a,f(a)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,negated_conjecture,
! [X0: $i] :
( big_f(a,b)
| big_f(g(X0),X0)
| ~ big_f(a,X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,negated_conjecture,
! [X0: $i] :
( big_f(g(X0),X0)
| ~ big_f(a,X0)
| ~ big_f(a,f(a)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X1,f(a))
| ~ big_f(a,X0)
| ~ big_f(X1,b)
| ~ big_f(g(X0),X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,negated_conjecture,
! [X0: $i] :
( ~ big_f(a,X0)
| ~ big_f(a,f(a))
| ~ big_f(g(X0),X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
( big_f(a,f(a))
| ~ big_f(a,b) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_70,negated_conjecture,
big_f(a,f(a)),
inference(global_subsumption_just,[status(thm)],[c_58,c_58,c_67]) ).
tcf(c_72,negated_conjecture,
! [X0: $i] : ~ big_f(a,X0),
inference(global_subsumption_just,[status(thm)],[c_60,c_58,c_67,c_61,c_64]) ).
tcf(c_77,negated_conjecture,
big_f(a,f(a)),
inference(global_subsumption_just,[status(thm)],[c_57,c_70]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] : ~ big_f(a,X0),
inference(global_subsumption_just,[status(thm)],[c_62,c_72]) ).
tcf(c_86,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_77,c_83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:08:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 0.51/1.27 % SZS status Started for theBenchmark.p
% 0.51/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.27
% 0.51/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.51/1.27
% 0.51/1.27 % ------ iProver source info
% 0.51/1.27
% 0.51/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 0.51/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.51/1.27 % git: non_committed_changes: false
% 0.51/1.27
% 0.51/1.27 % ------ Parsing...% successful
% 0.51/1.27
% 0.51/1.27
% 0.51/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.51/1.27
% 0.51/1.27 % ------ Preprocessing...%
% 0.51/1.27
% 0.51/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.27
% 0.51/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.27
% 0.51/1.27
%------------------------------------------------------------------------------