%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN960+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 03:45:31 PM UTC 2026
% Result : Theorem 1.61s 1.44s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 20 ~; 14 |; 3 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 48 ( 0 sgn 24 !; 24 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0,X1] : a(X0,X1)
<=> ? [X1,X0] : a(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ? [X0,X1] : a(X0,X1)
<=> ? [X1,X0] : a(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ? [X0,X1] : a(X0,X1)
<=> ? [X2,X3] : a(X3,X2) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X0,X1] : a(X0,X1)
<~> ? [X2,X3] : a(X3,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ? [X0,X1] : a(X0,X1)
| ? [X2,X3] : a(X3,X2) )
& ( ! [X0,X1] : ~ a(X0,X1)
| ! [X2,X3] : ~ a(X3,X2) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
( ( ? [X6,X7] : a(X6,X7)
| ? [X4,X5] : a(X5,X4) )
& ( ! [X2,X3] : ~ a(X2,X3)
| ! [X0,X1] : ~ a(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ( a(sK2,sK3)
| a(sK1,sK0) )
& ( ! [X2,X3] : ~ a(X2,X3)
| ! [X0,X1] : ~ a(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X4,sK0),skolemize(X5,sK1),skolemize(X6,sK2),skolemize(X7,sK3)],[f6]) ).
fof(f8,plain,
( a(sK2,sK3)
| a(sK1,sK0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( ~ a(X2,X3)
| ~ a(X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ a(X2,X3)
| ~ a(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_50,negated_conjecture,
( a(sK2,sK3)
| a(sK1,sK0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ~ a(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_49]) ).
tcf(c_61,negated_conjecture,
iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_49]) ).
tcf(c_63,negated_conjecture,
iPr_def_10,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ~ a(X0,X1) ),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_66,plain,
( ~ iPr_def_10
| ~ a(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_67,plain,
( ~ iPr_def_10
| ~ a(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_68,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_67,c_66,c_63,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN960+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 02:40:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.44 Running first-order theorem proving
% 0.09/0.44 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.46
% 0.09/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.46
% 0.09/0.46 % Detected problem language: tptp
% 0.20/0.49 % Proving...
% 1.61/1.44 % SZS status Started for theBenchmark.p
% 1.61/1.44 % SZS status Theorem for theBenchmark.p
% 1.61/1.44
% 1.61/1.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.61/1.44
% 1.61/1.44 % ------ iProver source info
% 1.61/1.44
% 1.61/1.44 % git: date: 2026-07-19 20:42:38 +0200
% 1.61/1.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.61/1.44 % git: non_committed_changes: false
% 1.61/1.44
% 1.61/1.44 % ------ Parsing...
% 1.61/1.44 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.61/1.44 %
% 1.61/1.44
% 1.61/1.44 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.61/1.44
% 1.61/1.44 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.61/1.44 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.61/1.44 % ------ Proving...
% 1.61/1.44 % ------ Problem Properties
% 1.61/1.44
% 1.61/1.44 %
% 1.61/1.44 % clauses 3
% 1.61/1.44 % conjectures 3
% 1.61/1.44 % EPR 3
% 1.61/1.44 % Horn 2
% 1.61/1.44 % unary 1
% 1.61/1.44 % binary 2
% 1.61/1.44 % lits 5
% 1.61/1.44 % lits eq 0
% 1.61/1.44 % fd_pure 0
% 1.61/1.44 % fd_pseudo 0
% 1.61/1.44 % fd_cond 0
% 1.61/1.44 % fd_pseudo_cond 0
% 1.61/1.44 % AC symbols 0
% 1.61/1.44
% 1.61/1.44 % ------ Schedule EPR non Horn non eq is on
% 1.61/1.44
% 1.61/1.44 % ------ no equalities: superposition off
% 1.61/1.44
% 1.61/1.44 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.61/1.44
% 1.61/1.44
% 1.61/1.44 % ------
% 1.61/1.44 % Current options:
% 1.61/1.44 % ------
% 1.61/1.44
% 1.61/1.44
% 1.61/1.44 %
% 1.61/1.44
% 1.61/1.44 % ------ Proving...
% 1.61/1.44 %
% 1.61/1.44
% 1.61/1.44 % SZS status Theorem for theBenchmark.p
% 1.61/1.44
% 1.61/1.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.61/1.44
% 1.61/1.44
%------------------------------------------------------------------------------