%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN562-1 : 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 : n001.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 1.92s 1.26s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 40 ( 34 unt; 19 def)
% Number of atoms : 120 ( 19 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 19 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 20 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
! [X0] : ~ p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_3) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
fof(f15,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).
tcf(c_65,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_67,negated_conjecture,
! [X0: $i] : ~ p10(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(X1,X3)
| ~ p10(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_79,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_148,definition,
iPr_def_10 = f7(c11),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_149,definition,
iPr_def_11 = f5(c12),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_150,definition,
iPr_def_12 = f5(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_151,definition,
iPr_def_13 = f5(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_152,definition,
iPr_def_14 = f5(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_153,definition,
iPr_def_15 = f5(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_154,definition,
iPr_def_16 = f5(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_155,definition,
iPr_def_17 = f5(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_156,definition,
iPr_def_18 = f5(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_157,definition,
iPr_def_19 = f5(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_158,definition,
iPr_def_20 = f5(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_159,definition,
iPr_def_21 = f5(iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_160,definition,
iPr_def_22 = f5(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_161,definition,
iPr_def_23 = f5(iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_162,definition,
iPr_def_24 = f5(iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_163,definition,
iPr_def_25 = f5(iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_164,definition,
iPr_def_26 = f5(iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_165,definition,
iPr_def_27 = f4(iPr_def_26),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_166,definition,
iPr_def_28 = f3(iPr_def_27),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_170,negated_conjecture,
p10(iPr_def_10,iPr_def_28),
inference(demodulation,[status(thm)],[c_80,c_149,c_150,c_151,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_160,c_161,c_162,c_163,c_164,c_165,c_166,c_148]) ).
tcf(c_171,negated_conjecture,
p2(iPr_def_10,iPr_def_28),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_172,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(X1,X3)
| ~ p10(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_183,negated_conjecture,
! [X0: $i] : ~ p10(X0,X0),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_185,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_745,plain,
! [X0: $i,X1: $i] :
( p10(X0,X1)
| ~ p10(iPr_def_10,iPr_def_28)
| ~ p2(iPr_def_28,X1)
| ~ p2(iPr_def_10,X0) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_767,plain,
! [X0: $i] :
( p10(iPr_def_28,X0)
| ~ p10(iPr_def_10,iPr_def_28)
| ~ p2(iPr_def_10,iPr_def_28)
| ~ p2(iPr_def_28,X0) ),
inference(instantiation,[status(thm)],[c_745]) ).
tcf(c_852,plain,
( p10(iPr_def_28,iPr_def_28)
| ~ p10(iPr_def_10,iPr_def_28)
| ~ p2(iPr_def_28,iPr_def_28)
| ~ p2(iPr_def_10,iPr_def_28) ),
inference(instantiation,[status(thm)],[c_767]) ).
tcf(c_853,plain,
p2(iPr_def_28,iPr_def_28),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_911,plain,
~ p10(iPr_def_28,iPr_def_28),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_912,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_911,c_853,c_852,c_171,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN562-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 01:51:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 1.92/1.26 % SZS status Started for theBenchmark.p
% 1.92/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/1.26
% 1.92/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.92/1.26
% 1.92/1.26 % ------ iProver source info
% 1.92/1.26
% 1.92/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.92/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.92/1.26 % git: non_committed_changes: false
% 1.92/1.26
% 1.92/1.26 % ------ Parsing...% successful
% 1.92/1.26
% 1.92/1.26
% 1.92/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.92/1.26
% 1.92/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.92/1.26
% 1.92/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.92/1.26
% 1.92/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.92/1.26 % ------ Proving...
% 1.92/1.26 % ------ Problem Properties
% 1.92/1.26
% 1.92/1.26 %
% 1.92/1.26 % clauses 38
% 1.92/1.26 % conjectures 16
% 1.92/1.26 % EPR 10
% 1.92/1.26 % Horn 38
% 1.92/1.26 % unary 29
% 1.92/1.26 % binary 6
% 1.92/1.26 % lits 51
% 1.92/1.26 % lits eq 22
% 1.92/1.26 % fd_pure 0
% 1.92/1.26 % fd_pseudo 0
% 1.92/1.26 % fd_cond 0
% 1.92/1.26 % fd_pseudo_cond 0
% 1.92/1.26 % AC symbols 0
% 1.92/1.26
% 1.92/1.26 % ------ Schedule dynamic 5 is on
% 1.92/1.26
% 1.92/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.92/1.26
% 1.92/1.26
% 1.92/1.26 % ------
% 1.92/1.26 % Current options:
% 1.92/1.26 % ------
% 1.92/1.26
% 1.92/1.26
% 1.92/1.26 %
% 1.92/1.26
% 1.92/1.26 % ------ Proving...
% 1.92/1.26 %
% 1.92/1.26
% 1.92/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/1.26
% 1.92/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/1.26
% 1.92/1.26
%------------------------------------------------------------------------------