%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN666-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 03:41:20 PM UTC 2026
% Result : Unsatisfiable 1.67s 1.07s
% Output : CNFRefutation 1.67s
% 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/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).
fof(f14,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_14) ).
fof(f18,negated_conjecture,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',p2_50) ).
tcf(c_109,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_114,negated_conjecture,
p25(c33,c36),
inference(cnf_transformation,[],[f12]) ).
tcf(c_116,negated_conjecture,
p25(c32,c33),
inference(cnf_transformation,[],[f14]) ).
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_512,definition,
iPr_def_10 = f4(c32),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_513,definition,
iPr_def_11 = f11(iPr_def_10,c34),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_519,definition,
iPr_def_17 = f4(c33),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_527,definition,
iPr_def_25 = f11(iPr_def_17,c34),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_528,definition,
iPr_def_26 = f18(iPr_def_25,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_529,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_512,c_513]) ).
tcf(c_537,negated_conjecture,
p2(iPr_def_11,iPr_def_26),
inference(demodulation,[status(thm)],[c_140,c_527,c_528]) ).
tcf(c_539,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_546,negated_conjecture,
! [X0: $i] : ~ p2(X0,f18(X0,iPr_def_13)),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_547,negated_conjecture,
p25(c32,c33),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_549,negated_conjecture,
p25(c33,c36),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_551,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_990,plain,
( p2(f11(iPr_def_17,c34),iPr_def_11)
| ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(superposition,[status(thm)],[c_519,c_529]) ).
tcf(c_991,plain,
( p2(iPr_def_25,iPr_def_11)
| ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(light_normalisation,[status(thm)],[c_990,c_527]) ).
tcf(c_992,plain,
p2(iPr_def_25,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_991,c_547,c_549]) ).
tcf(c_1134,plain,
! [X0: $i] :
( p2(iPr_def_11,X0)
| ~ p2(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_992,c_539]) ).
tcf(c_1435,plain,
~ p2(iPr_def_25,iPr_def_26),
inference(superposition,[status(thm)],[c_528,c_546]) ).
tcf(c_1493,plain,
p2(iPr_def_11,iPr_def_25),
inference(superposition,[status(thm)],[c_551,c_1134]) ).
tcf(c_1496,plain,
! [X0: $i] :
( p2(iPr_def_25,X0)
| ~ p2(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_1493,c_539]) ).
tcf(c_1567,plain,
p2(iPr_def_25,iPr_def_26),
inference(superposition,[status(thm)],[c_537,c_1496]) ).
tcf(c_1569,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1567,c_1435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN666-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 02:00:51 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 1.67/1.07 % SZS status Started for theBenchmark.p
% 1.67/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.07
% 1.67/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.67/1.07
% 1.67/1.07 % ------ iProver source info
% 1.67/1.07
% 1.67/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 1.67/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.67/1.07 % git: non_committed_changes: false
% 1.67/1.07
% 1.67/1.07 % ------ Parsing...% successful
% 1.67/1.07
% 1.67/1.07
% 1.67/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.67/1.07
% 1.67/1.07 % ------ Preprocessing... sf_s rm: 29 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.67/1.07
% 1.67/1.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.67/1.07
% 1.67/1.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.67/1.07 % ------ Proving...
% 1.67/1.07 % ------ Problem Properties
% 1.67/1.07
% 1.67/1.07 %
% 1.67/1.07 % clauses 42
% 1.67/1.07 % conjectures 25
% 1.67/1.07 % EPR 15
% 1.67/1.07 % Horn 42
% 1.67/1.07 % unary 29
% 1.67/1.07 % binary 4
% 1.67/1.07 % lits 65
% 1.67/1.07 % lits eq 17
% 1.67/1.07 % fd_pure 0
% 1.67/1.07 % fd_pseudo 0
% 1.67/1.07 % fd_cond 0
% 1.67/1.07 % fd_pseudo_cond 0
% 1.67/1.07 % AC symbols 0
% 1.67/1.07
% 1.67/1.07 % ------ Schedule dynamic 5 is on
% 1.67/1.07
% 1.67/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.67/1.07
% 1.67/1.07
% 1.67/1.07 % ------
% 1.67/1.07 % Current options:
% 1.67/1.07 % ------
% 1.67/1.07
% 1.67/1.07
% 1.67/1.07 %
% 1.67/1.07
% 1.67/1.07 % ------ Proving...
% 1.67/1.07 %
% 1.67/1.07
% 1.67/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.07
% 1.67/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.67/1.07
% 1.67/1.07
%------------------------------------------------------------------------------