%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN070-1 : 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 : n007.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 03:39:05 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.30s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 44 ~; 54 |; 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 : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( big_g(X0)
| big_f(f(X0))
| ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( big_g(X0)
| big_h(f(X0),X0)
| ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0] :
( big_g(X0)
| ~ big_g(f(X0))
| ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
! [X0] :
( big_f(a)
| big_g(X0)
| ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0] :
( ~ big_g(a)
| big_g(X0)
| ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0,X1] :
( big_j(a,X1)
| big_g(X1)
| ~ big_f(X1)
| big_g(X0)
| ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,axiom,
! [X0,X1] :
( ~ big_j(X1,X0)
| ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
big_f(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
~ big_g(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
tcf(c_58,plain,
! [X0: $i] :
( big_g(X0)
| big_f(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i] :
( big_g(X0)
| big_h(f(X0),X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_f(X0)
| ~ big_g(f(X0)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i] :
( big_f(a)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_g(a)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( big_g(X1)
| big_g(X0)
| big_j(a,X1)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ~ big_f(X1)
| ~ big_f(X0)
| ~ big_j(X1,X0)
| ~ big_h(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,negated_conjecture,
big_f(b),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
~ big_g(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_67,plain,
( big_g(a)
| big_f(f(a))
| ~ big_f(a) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_68,plain,
( big_g(a)
| ~ big_f(a)
| ~ big_g(f(a)) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_124,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_f(X0)
| ~ big_f(f(X0))
| ~ big_j(X0,f(X0)) ),
inference(resolution,[status(thm)],[c_59,c_64]) ).
tcf(c_126,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_f(X0)
| ~ big_j(X0,f(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_124,c_58,c_124]) ).
tcf(c_141,plain,
! [X0: $i] :
( big_g(a)
| big_g(X0)
| big_g(f(a))
| ~ big_f(a)
| ~ big_f(X0)
| ~ big_f(f(a)) ),
inference(resolution,[status(thm)],[c_63,c_126]) ).
tcf(c_142,plain,
( big_g(a)
| big_g(f(a))
| ~ big_f(a)
| ~ big_f(f(a)) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_143,plain,
( big_g(a)
| ~ big_f(a) ),
inference(global_subsumption_just,[status(thm)],[c_141,c_67,c_68,c_142]) ).
tcf(c_153,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_f(X0) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_61,c_62,c_143]) ).
tcf(c_159,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_f(X0) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_153]) ).
tcf(c_169,plain,
big_g(b),
inference(resolution,[status(thm)],[c_159,c_65]) ).
tcf(c_170,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_169,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n007.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Fri Sep 25 00:01:52 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.45 % Proving...
% 1.32/1.30 % SZS status Started for theBenchmark.p
% 1.32/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.30
% 1.32/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.32/1.30
% 1.32/1.30 % ------ iProver source info
% 1.32/1.30
% 1.32/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.32/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.32/1.30 % git: non_committed_changes: false
% 1.32/1.30
% 1.32/1.30 % ------ Parsing...% successful
% 1.32/1.30
% 1.32/1.30
% 1.32/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.32/1.30
% 1.32/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s %
% 1.32/1.30
% 1.32/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.30
% 1.32/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.32/1.30
% 1.32/1.30
%------------------------------------------------------------------------------