%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 03:39:48 PM UTC 2026
% Result : Unsatisfiable 1.45s 1.16s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 2 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 64 ( 31 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( f(a,b)
| ~ f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( f(a,b)
| f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(a,b)
| ~ f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ~ f(a,b)
| f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(b,y(X0,X1))
| f(a,y(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ f(b,y(X0,X1))
| ~ f(a,y(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
tcf(c_55,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,b)
| f(X1,y(X1,X0))
| ~ f(X0,y(X1,X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,b)
| f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(a,b)
| ~ f(X1,y(X1,X0))
| ~ f(X0,y(X1,X0)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X1,y(X1,X0))
| f(X0,y(X1,X0))
| ~ f(a,b) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i] :
( f(b,y(X0,X1))
| f(a,y(X0,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(b,y(X0,X1))
| ~ f(a,y(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
( f(a,y(a,a))
| ~ f(a,b) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_64,plain,
( ~ f(a,b)
| ~ f(a,y(a,a)) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_65,negated_conjecture,
~ f(a,b),
inference(global_subsumption_just,[status(thm)],[c_58,c_63,c_64]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_63,c_56,c_64]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( f(X1,y(X1,X0))
| ~ f(X0,y(X1,X0)) ),
inference(prop_impl_just,[status(thm)],[c_55,c_65]) ).
tcf(c_152,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(b,y(X0,X1))
| ~ f(a,y(X0,X1)) ),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_153,negated_conjecture,
! [X0: $i,X1: $i] :
( f(b,y(X0,X1))
| f(a,y(X0,X1)) ),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_154,plain,
! [X0: $i] :
( f(b,y(X0,b))
| ~ f(X0,y(X0,b)) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_155,plain,
! [X0: $i] :
( ~ f(b,y(X0,b))
| ~ f(a,y(X0,b)) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_156,plain,
( f(b,y(a,b))
| ~ f(a,y(a,b)) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_157,plain,
( ~ f(b,y(a,b))
| ~ f(a,y(a,b)) ),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_163,plain,
( f(a,y(a,b))
| ~ f(b,y(a,b)) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_164,plain,
! [X0: $i] :
( f(b,y(X0,b))
| f(a,y(X0,b)) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_165,plain,
( f(b,y(a,b))
| f(a,y(a,b)) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_166,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_165,c_163,c_157,c_156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:51:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 1.45/1.16 % SZS status Started for theBenchmark.p
% 1.45/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.45/1.16
% 1.45/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.45/1.16
% 1.45/1.16 % ------ iProver source info
% 1.45/1.16
% 1.45/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.45/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.45/1.16 % git: non_committed_changes: false
% 1.45/1.16
% 1.45/1.16 % ------ Parsing...% successful
% 1.45/1.16
% 1.45/1.16
% 1.45/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.45/1.16
% 1.45/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.45/1.16
% 1.45/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.45/1.16 % ------ Proving...
% 1.45/1.16 % ------ Problem Properties
% 1.45/1.16
% 1.45/1.16 %
% 1.45/1.16 % clauses 4
% 1.45/1.16 % conjectures 2
% 1.45/1.16 % EPR 0
% 1.45/1.16 % Horn 3
% 1.45/1.16 % unary 0
% 1.45/1.16 % binary 4
% 1.45/1.16 % lits 8
% 1.45/1.16 % lits eq 0
% 1.45/1.16 % fd_pure 0
% 1.45/1.16 % fd_pseudo 0
% 1.45/1.16 % fd_cond 0
% 1.45/1.16 % fd_pseudo_cond 0
% 1.45/1.16 % AC symbols 0
% 1.45/1.16
% 1.45/1.16 % ------ Schedule dynamic 5 is on
% 1.45/1.16
% 1.45/1.16 % ------ no equalities: superposition off
% 1.45/1.16
% 1.45/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.45/1.16
% 1.45/1.16
% 1.45/1.16 % ------
% 1.45/1.16 % Current options:
% 1.45/1.16 % ------
% 1.45/1.16
% 1.45/1.16
% 1.45/1.16 %
% 1.45/1.16
% 1.45/1.16 % ------ Proving...
% 1.45/1.16 %
% 1.45/1.16
% 1.45/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.45/1.16
% 1.45/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.45/1.16
% 1.45/1.16
%------------------------------------------------------------------------------