%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 03:39:50 PM UTC 2026
% Result : Unsatisfiable 1.42s 1.16s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 23 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
f(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( f(b,X1)
| ~ f(X0,X1)
| g(X1,z(X0,X1))
| g(b,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( f(b,X1)
| ~ f(X0,X1)
| ~ g(X1,z(X0,X1))
| ~ g(b,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ f(X0,X1)
| ~ f(b,X0)
| ~ f(a,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
tcf(c_56,negated_conjecture,
f(a,b),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i] :
( f(b,X1)
| g(b,z(X0,X1))
| g(X1,z(X0,X1))
| ~ f(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i] :
( f(b,X0)
| ~ f(X1,X0)
| ~ g(b,z(X1,X0))
| ~ g(X0,z(X1,X0)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(b,X0)
| ~ f(a,X0)
| ~ f(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,plain,
( ~ f(b,b)
| ~ f(a,b) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_174,negated_conjecture,
! [X0: $i,X1: $i] :
( f(b,X0)
| ~ f(X1,X0)
| ~ g(b,z(X1,X0))
| ~ g(X0,z(X1,X0)) ),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_175,negated_conjecture,
! [X0: $i,X1: $i] :
( f(b,X1)
| g(b,z(X0,X1))
| g(X1,z(X0,X1))
| ~ f(X0,X1) ),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_177,plain,
( f(b,b)
| ~ f(a,b)
| ~ g(b,z(a,b)) ),
inference(instantiation,[status(thm)],[c_174]) ).
tcf(c_178,plain,
( f(b,b)
| g(b,z(a,b))
| ~ f(a,b) ),
inference(instantiation,[status(thm)],[c_175]) ).
tcf(c_179,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_178,c_177,c_63,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 01:00:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 1.42/1.16 % SZS status Started for theBenchmark.p
% 1.42/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.42/1.16
% 1.42/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.42/1.16
% 1.42/1.16 % ------ iProver source info
% 1.42/1.16
% 1.42/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.42/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.42/1.16 % git: non_committed_changes: false
% 1.42/1.16
% 1.42/1.16 % ------ Parsing...% successful
% 1.42/1.16
% 1.42/1.16
% 1.42/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.42/1.16
% 1.42/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.42/1.16
% 1.42/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.42/1.16 % ------ Proving...
% 1.42/1.16 % ------ Problem Properties
% 1.42/1.16
% 1.42/1.16 %
% 1.42/1.16 % clauses 6
% 1.42/1.16 % conjectures 6
% 1.42/1.16 % EPR 2
% 1.42/1.16 % Horn 5
% 1.42/1.16 % unary 1
% 1.42/1.16 % binary 2
% 1.42/1.16 % lits 16
% 1.42/1.16 % lits eq 0
% 1.42/1.16 % fd_pure 0
% 1.42/1.16 % fd_pseudo 0
% 1.42/1.16 % fd_cond 0
% 1.42/1.16 % fd_pseudo_cond 0
% 1.42/1.16 % AC symbols 0
% 1.42/1.16
% 1.42/1.16 % ------ Schedule dynamic 5 is on
% 1.42/1.16
% 1.42/1.16 % ------ no equalities: superposition off
% 1.42/1.16
% 1.42/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.42/1.16
% 1.42/1.16
% 1.42/1.16 % ------
% 1.42/1.16 % Current options:
% 1.42/1.16 % ------
% 1.42/1.16
% 1.42/1.16
% 1.42/1.16 %
% 1.42/1.16
% 1.42/1.16 % ------ Proving...
% 1.42/1.16 %
% 1.42/1.16
% 1.42/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.42/1.16
% 1.42/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.42/1.16
% 1.42/1.16
%------------------------------------------------------------------------------