%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN670-1 : 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 : n013.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 03:41:21 PM UTC 2026
% Result : Unsatisfiable 3.13s 1.29s
% Output : CNFRefutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 25 unt; 5 def)
% Number of atoms : 82 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f11,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_11) ).
fof(f12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).
fof(f18,negated_conjecture,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_18) ).
fof(f30,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).
fof(f38,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_38) ).
fof(f50,negated_conjecture,
! [X0] :
( ~ p25(c32,X0)
| ~ p25(X0,c36)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_50) ).
tcf(c_109,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_113,negated_conjecture,
p25(c32,c33),
inference(cnf_transformation,[],[f11]) ).
tcf(c_114,negated_conjecture,
p25(c33,c36),
inference(cnf_transformation,[],[f12]) ).
tcf(c_120,negated_conjecture,
! [X0: $i] : ~ p2(X0,f18(X0,f9(f17(c31)))),
inference(cnf_transformation,[],[f18]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_140,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnf_transformation,[],[f38]) ).
tcf(c_152,negated_conjecture,
! [X0: $i] :
( p2(f11(f4(X0),c34),f11(f4(c32),c34))
| ~ p25(c32,X0)
| ~ p25(X0,c36) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_508,definition,
iPr_def_10 = f4(c32),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_509,definition,
iPr_def_11 = f11(iPr_def_10,c34),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_518,definition,
iPr_def_20 = f4(c33),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_519,definition,
iPr_def_21 = f11(iPr_def_20,c34),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_520,definition,
iPr_def_22 = f18(iPr_def_21,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_521,negated_conjecture,
! [X0: $i] :
( p2(f11(f4(X0),c34),iPr_def_11)
| ~ p25(c32,X0)
| ~ p25(X0,c36) ),
inference(demodulation,[status(thm)],[c_152,c_508,c_509]) ).
tcf(c_528,negated_conjecture,
p2(iPr_def_11,iPr_def_22),
inference(demodulation,[status(thm)],[c_140,c_518,c_519,c_520]) ).
tcf(c_530,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_537,negated_conjecture,
! [X0: $i] : ~ p2(X0,f18(X0,iPr_def_13)),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_539,negated_conjecture,
p25(c33,c36),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_540,negated_conjecture,
p25(c32,c33),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_541,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_944,plain,
( p2(f11(iPr_def_20,c34),iPr_def_11)
| ~ p25(c33,c36)
| ~ p25(c32,c33) ),
inference(superposition,[status(thm)],[c_518,c_521]) ).
tcf(c_945,plain,
( p2(iPr_def_21,iPr_def_11)
| ~ p25(c33,c36)
| ~ p25(c32,c33) ),
inference(light_normalisation,[status(thm)],[c_944,c_519]) ).
tcf(c_946,plain,
p2(iPr_def_21,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_945,c_539,c_540]) ).
tcf(c_1024,plain,
! [X0: $i] :
( p2(iPr_def_11,X0)
| ~ p2(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_946,c_530]) ).
tcf(c_1093,plain,
~ p2(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_520,c_537]) ).
tcf(c_1380,plain,
p2(iPr_def_11,iPr_def_21),
inference(superposition,[status(thm)],[c_541,c_1024]) ).
tcf(c_1383,plain,
! [X0: $i] :
( p2(iPr_def_21,X0)
| ~ p2(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_1380,c_530]) ).
tcf(c_1470,plain,
p2(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_528,c_1383]) ).
tcf(c_1472,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1470,c_1093]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN670-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 02:02:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.13/1.29 % SZS status Started for theBenchmark.p
% 3.13/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.13/1.29
% 3.13/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.13/1.29
% 3.13/1.29 % ------ iProver source info
% 3.13/1.29
% 3.13/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.13/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.13/1.29 % git: non_committed_changes: false
% 3.13/1.29
% 3.13/1.29 % ------ Parsing...% successful
% 3.13/1.29
% 3.13/1.29
% 3.13/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.13/1.29
% 3.13/1.29 % ------ Preprocessing... sf_s rm: 31 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.13/1.29
% 3.13/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.13/1.29
% 3.13/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.13/1.29 % ------ Proving...
% 3.13/1.29 % ------ Problem Properties
% 3.13/1.29
% 3.13/1.29 %
% 3.13/1.29 % clauses 36
% 3.13/1.29 % conjectures 23
% 3.13/1.29 % EPR 13
% 3.13/1.29 % Horn 36
% 3.13/1.29 % unary 23
% 3.13/1.29 % binary 4
% 3.13/1.29 % lits 59
% 3.13/1.29 % lits eq 13
% 3.13/1.29 % fd_pure 0
% 3.13/1.29 % fd_pseudo 0
% 3.13/1.29 % fd_cond 0
% 3.13/1.29 % fd_pseudo_cond 0
% 3.13/1.29 % AC symbols 0
% 3.13/1.29
% 3.13/1.29 % ------ Schedule dynamic 5 is on
% 3.13/1.29
% 3.13/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.13/1.29
% 3.13/1.29
% 3.13/1.29 % ------
% 3.13/1.29 % Current options:
% 3.13/1.29 % ------
% 3.13/1.29
% 3.13/1.29
% 3.13/1.29 %
% 3.13/1.29
% 3.13/1.29 % ------ Proving...
% 3.13/1.29 %
% 3.13/1.29
% 3.13/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.13/1.29
% 3.13/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.13/1.29
% 3.13/1.29
%------------------------------------------------------------------------------