%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 03:41:05 PM UTC 2026
% Result : Unsatisfiable 1.67s 1.17s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 16 unt; 2 def)
% Number of atoms : 49 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_2) ).
fof(f4,negated_conjecture,
p4(f5(c7,c10,c9),c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
fof(f5,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_5) ).
fof(f6,negated_conjecture,
! [X0] : p4(f5(c7,X0,c8),f5(c7,X0,c9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_6) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(f5(c7,f6(X0,X2,X1),X2),f5(c7,f6(X0,X2,X1),X1))
| ~ p4(f5(c7,X0,X2),X2)
| p4(f5(c7,X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_12) ).
tcf(c_62,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,negated_conjecture,
p4(f5(c7,c10,c9),c9),
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,negated_conjecture,
! [X0: $i] : p4(f5(c7,X0,c8),f5(c7,X0,c9)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_68,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(f5(c7,X0,X2),X2)
| ~ p4(f5(c7,X0,X1),X1)
| ~ p4(f5(c7,f6(X0,X1,X2),X1),f5(c7,f6(X0,X1,X2),X2)) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_131,definition,
iPr_def_10 = f5(c7,c10,c8),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_132,definition,
iPr_def_11 = f5(c7,c10,c9),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(f5(c7,X0,X2),X2)
| ~ p4(f5(c7,X0,X1),X1)
| ~ p4(f5(c7,f6(X0,X1,X2),X1),f5(c7,f6(X0,X1,X2),X2)) ),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_137,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p4(X0,X1) ),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_139,negated_conjecture,
! [X0: $i] : p4(f5(c7,X0,c8),f5(c7,X0,c9)),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_140,negated_conjecture,
~ p4(iPr_def_10,c8),
inference(demodulation,[status(thm)],[c_65,c_131]) ).
tcf(c_141,negated_conjecture,
p4(iPr_def_11,c9),
inference(demodulation,[status(thm)],[c_64,c_132]) ).
tcf(c_143,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( p4(f5(c7,X0,c9),X1)
| ~ p4(f5(c7,X0,c8),X1) ),
inference(superposition,[status(thm)],[c_139,c_137]) ).
tcf(c_355,plain,
! [X0: $i] : p4(f5(c7,X0,c9),f5(c7,X0,c8)),
inference(superposition,[status(thm)],[c_143,c_343]) ).
tcf(c_506,plain,
! [X0: $i] :
( p4(f5(c7,X0,c8),c8)
| ~ p4(f5(c7,X0,c9),c9) ),
inference(superposition,[status(thm)],[c_355,c_133]) ).
tcf(c_571,plain,
( p4(f5(c7,c10,c8),c8)
| ~ p4(iPr_def_11,c9) ),
inference(superposition,[status(thm)],[c_132,c_506]) ).
tcf(c_572,plain,
( p4(iPr_def_10,c8)
| ~ p4(iPr_def_11,c9) ),
inference(light_normalisation,[status(thm)],[c_571,c_131]) ).
tcf(c_573,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_572,c_140,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 01:48:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.67/1.17 % SZS status Started for theBenchmark.p
% 1.67/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.17
% 1.67/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.67/1.17
% 1.67/1.17 % ------ iProver source info
% 1.67/1.17
% 1.67/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.67/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.67/1.17 % git: non_committed_changes: false
% 1.67/1.17
% 1.67/1.17 % ------ Parsing...% successful
% 1.67/1.17
% 1.67/1.17
% 1.67/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.67/1.17
% 1.67/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.67/1.17
% 1.67/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.67/1.17
% 1.67/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.67/1.17 % ------ Proving...
% 1.67/1.17 % ------ Problem Properties
% 1.67/1.17
% 1.67/1.17 %
% 1.67/1.17 % clauses 14
% 1.67/1.17 % conjectures 12
% 1.67/1.17 % EPR 8
% 1.67/1.17 % Horn 14
% 1.67/1.17 % unary 8
% 1.67/1.17 % binary 0
% 1.67/1.17 % lits 28
% 1.67/1.17 % lits eq 2
% 1.67/1.17 % fd_pure 0
% 1.67/1.17 % fd_pseudo 0
% 1.67/1.17 % fd_cond 0
% 1.67/1.17 % fd_pseudo_cond 0
% 1.67/1.17 % AC symbols 0
% 1.67/1.17
% 1.67/1.17 % ------ Schedule dynamic 5 is on
% 1.67/1.17
% 1.67/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.67/1.17
% 1.67/1.17
% 1.67/1.17 % ------
% 1.67/1.17 % Current options:
% 1.67/1.17 % ------
% 1.67/1.17
% 1.67/1.17
% 1.67/1.17 %
% 1.67/1.17
% 1.67/1.17 % ------ Proving...
% 1.67/1.17 %
% 1.67/1.17
% 1.67/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.17
% 1.67/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.67/1.17
% 1.67/1.17
%------------------------------------------------------------------------------