%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN006-1 : 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 : n009.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 03:38:51 PM UTC 2026
% Result : Unsatisfiable 1.35s 1.27s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( q2(X0,f(X1))
| q1(f(X0),X1)
| ~ p1(X0,f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] : p1(a,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] : ~ q2(X0,f(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( q4(X0,f(X1))
| q3(f(X0),X1)
| ~ p2(X0,f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0,X1] : ~ q3(X0,g(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] : ~ q4(f(f(X0)),f(g(f(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p2(f(X0),X1)
| ~ q1(X0,f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( q2(X0,f(X1))
| q1(f(X0),X1)
| ~ p1(X0,f(X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,negated_conjecture,
! [X0: $i] : p1(a,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i] : ~ q2(X0,f(X1)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i] :
( q4(X0,f(X1))
| q3(f(X0),X1)
| ~ p2(X0,f(X1)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i] : ~ q3(X0,g(X1)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i] : ~ q4(f(f(X0)),f(g(f(X1)))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f(X0),X1)
| ~ q1(X0,f(X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ~ p1(X0,f(X1))
| q1(f(X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_58,c_56]) ).
tcf(c_71,negated_conjecture,
! [X0: $i,X1: $i] :
( q1(f(X0),X1)
| ~ p1(X0,f(X1)) ),
inference(renaming,[status(thm)],[c_70]) ).
tcf(c_95,plain,
! [X0: $i] : q1(f(a),X0),
inference(resolution,[status(thm)],[c_71,c_57]) ).
tcf(c_101,plain,
! [X0: $i] : p2(f(f(a)),X0),
inference(resolution,[status(thm)],[c_62,c_95]) ).
tcf(c_107,plain,
! [X0: $i] :
( q4(f(f(a)),f(X0))
| q3(f(f(f(a))),X0) ),
inference(resolution,[status(thm)],[c_59,c_101]) ).
tcf(c_117,plain,
! [X0: $i] : q4(f(f(a)),f(g(X0))),
inference(resolution,[status(thm)],[c_60,c_107]) ).
tcf(c_123,plain,
$false,
inference(resolution,[status(thm)],[c_61,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 23:49:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.35/1.27 % SZS status Started for theBenchmark.p
% 1.35/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.27
% 1.35/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.35/1.27
% 1.35/1.27 % ------ iProver source info
% 1.35/1.27
% 1.35/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.35/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.35/1.27 % git: non_committed_changes: false
% 1.35/1.27
% 1.35/1.27 % ------ Parsing...% successful
% 1.35/1.27
% 1.35/1.27
% 1.35/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.35/1.27
% 1.35/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.35/1.27
% 1.35/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.27
% 1.35/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.35/1.27
% 1.35/1.27
%------------------------------------------------------------------------------