%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN034-1 : 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 : n011.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 03:38:54 PM UTC 2026
% Result : Unsatisfiable 1.50s 1.29s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 2 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 15 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( p(X0,f(X0))
| p(X0,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,axiom,
! [X0] :
( p(f(X0),X0)
| p(X0,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ p(X1,a)
| ~ p(X1,X0)
| ~ p(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem) ).
tcf(c_52,plain,
! [X0: $i] :
( p(X0,a)
| p(X0,f(X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i] :
( p(X0,a)
| p(f(X0),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p(X1,a)
| ~ p(X1,X0)
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_55,plain,
( p(a,a)
| p(f(a),a) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_56,plain,
( p(a,a)
| p(a,f(a)) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_57,plain,
~ p(a,a),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p(X1,a)
| ~ p(X1,X0)
| ~ p(X0,X1) ),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_74,plain,
! [X0: $i] :
( ~ p(f(a),a)
| ~ p(X0,f(a))
| ~ p(f(a),X0) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_75,plain,
( ~ p(a,f(a))
| ~ p(f(a),a) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_76,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_75,c_57,c_56,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN034-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 23:51:28 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.50/1.29 % SZS status Started for theBenchmark.p
% 1.50/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.29
% 1.50/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.50/1.29
% 1.50/1.29 % ------ iProver source info
% 1.50/1.29
% 1.50/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.50/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.50/1.29 % git: non_committed_changes: false
% 1.50/1.29
% 1.50/1.29 % ------ Parsing...% successful
% 1.50/1.29
% 1.50/1.29
% 1.50/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.50/1.29
% 1.50/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.50/1.29
% 1.50/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.50/1.29 % ------ Proving...
% 1.50/1.29 % ------ Problem Properties
% 1.50/1.29
% 1.50/1.29 %
% 1.50/1.29 % clauses 3
% 1.50/1.29 % conjectures 1
% 1.50/1.29 % EPR 1
% 1.50/1.29 % Horn 1
% 1.50/1.29 % unary 0
% 1.50/1.29 % binary 2
% 1.50/1.29 % lits 7
% 1.50/1.29 % lits eq 0
% 1.50/1.29 % fd_pure 0
% 1.50/1.29 % fd_pseudo 0
% 1.50/1.29 % fd_cond 0
% 1.50/1.29 % fd_pseudo_cond 0
% 1.50/1.29 % AC symbols 0
% 1.50/1.29
% 1.50/1.29 % ------ Schedule dynamic 5 is on
% 1.50/1.29
% 1.50/1.29 % ------ no equalities: superposition off
% 1.50/1.29
% 1.50/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.50/1.29
% 1.50/1.29
% 1.50/1.29 % ------
% 1.50/1.29 % Current options:
% 1.50/1.29 % ------
% 1.50/1.29
% 1.50/1.29
% 1.50/1.29 %
% 1.50/1.29
% 1.50/1.29 % ------ Proving...
% 1.50/1.29 %
% 1.50/1.29
% 1.50/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.29
% 1.50/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.50/1.29
% 1.50/1.29
%------------------------------------------------------------------------------