%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN588-1 : 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 : n008.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 03:41:09 PM UTC 2026
% Result : Unsatisfiable 2.15s 1.50s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 24
% Syntax : Number of formulae : 35 ( 31 unt; 20 def)
% Number of atoms : 92 ( 20 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 21 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_14) ).
fof(f24,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).
fof(f25,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
fof(f26,negated_conjecture,
~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p7_26) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p7(X1,X2)
| ~ p7(X0,X2)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_98,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(cnf_transformation,[],[f24]) ).
tcf(c_99,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(cnf_transformation,[],[f25]) ).
tcf(c_100,negated_conjecture,
~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(cnf_transformation,[],[f26]) ).
tcf(c_291,definition,
iPr_def_10 = f5(c17),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_292,definition,
iPr_def_11 = f3(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_293,definition,
iPr_def_12 = f11(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_294,definition,
iPr_def_13 = f12(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_295,definition,
iPr_def_14 = f10(iPr_def_13,c18),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_296,definition,
iPr_def_15 = f4(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_297,definition,
iPr_def_16 = f3(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_298,definition,
iPr_def_17 = f11(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_299,definition,
iPr_def_18 = f10(iPr_def_17,c21),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_300,definition,
iPr_def_19 = f11(c19),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_301,definition,
iPr_def_20 = f10(iPr_def_17,c22),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_302,definition,
iPr_def_21 = f9(iPr_def_19,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_303,definition,
iPr_def_22 = f8(iPr_def_18,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_304,definition,
iPr_def_23 = f8(iPr_def_14,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_305,definition,
iPr_def_24 = f10(iPr_def_13,c23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_306,definition,
iPr_def_25 = f10(iPr_def_17,c25),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_307,definition,
iPr_def_26 = f11(c24),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_308,definition,
iPr_def_27 = f9(iPr_def_26,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_309,definition,
iPr_def_28 = f8(iPr_def_25,iPr_def_27),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_310,definition,
iPr_def_29 = f8(iPr_def_24,iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_312,negated_conjecture,
~ p7(iPr_def_23,iPr_def_29),
inference(demodulation,[status(thm)],[c_100,c_307,c_308,c_306,c_309,c_305,c_310,c_301,c_300,c_302,c_296,c_297,c_298,c_299,c_303,c_291,c_292,c_293,c_294,c_295,c_304]) ).
tcf(c_313,negated_conjecture,
p7(c20,iPr_def_23),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_314,negated_conjecture,
p7(c20,iPr_def_29),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_321,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p7(X1,X2)
| ~ p7(X0,X2)
| ~ p7(X0,X1) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_838,plain,
! [X0: $i] :
( p7(iPr_def_23,X0)
| ~ p7(c20,X0) ),
inference(superposition,[status(thm)],[c_313,c_321]) ).
tcf(c_1028,plain,
p7(iPr_def_23,iPr_def_29),
inference(superposition,[status(thm)],[c_314,c_838]) ).
tcf(c_1029,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1028,c_312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN588-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.59 % Computer : n008.cluster.edu
% 0.12/0.59 % Model : x86_64 x86_64
% 0.12/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59 % Memory : 8046.5625MB
% 0.12/0.59 % OS : Linux 6.8.0-71-generic
% 0.12/0.59 % CPULimit : 300
% 0.12/0.59 % WCLimit : 300
% 0.12/0.59 % DateTime : Fri Sep 25 01:49:46 UTC 2026
% 0.12/0.59 % CPUTime :
% 0.12/0.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.63 Running first-order theorem proving
% 0.16/0.63 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
% 0.16/0.64
% 0.16/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.64
% 0.16/0.64 % Detected problem language: tptp
% 0.16/0.65 % Proving...
% 2.15/1.50 % SZS status Started for theBenchmark.p
% 2.15/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.50
% 2.15/1.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.15/1.50
% 2.15/1.50 % ------ iProver source info
% 2.15/1.50
% 2.15/1.50 % git: date: 2026-07-19 20:42:38 +0200
% 2.15/1.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.15/1.50 % git: non_committed_changes: false
% 2.15/1.50
% 2.15/1.50 % ------ Parsing...% successful
% 2.15/1.50
% 2.15/1.50
% 2.15/1.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.15/1.50
% 2.15/1.50 % ------ Preprocessing... sf_s rm: 7 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.15/1.50
% 2.15/1.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.15/1.50
% 2.15/1.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.15/1.50 % ------ Proving...
% 2.15/1.50 % ------ Problem Properties
% 2.15/1.50
% 2.15/1.50 %
% 2.15/1.50 % clauses 40
% 2.15/1.50 % conjectures 19
% 2.15/1.50 % EPR 9
% 2.15/1.50 % Horn 40
% 2.15/1.50 % unary 28
% 2.15/1.50 % binary 5
% 2.15/1.50 % lits 59
% 2.15/1.50 % lits eq 21
% 2.15/1.50 % fd_pure 0
% 2.15/1.50 % fd_pseudo 0
% 2.15/1.50 % fd_cond 0
% 2.15/1.50 % fd_pseudo_cond 0
% 2.15/1.50 % AC symbols 0
% 2.15/1.50
% 2.15/1.50 % ------ Schedule dynamic 5 is on
% 2.15/1.50
% 2.15/1.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.15/1.50
% 2.15/1.50
% 2.15/1.50 % ------
% 2.15/1.50 % Current options:
% 2.15/1.50 % ------
% 2.15/1.50
% 2.15/1.50
% 2.15/1.50 %
% 2.15/1.50
% 2.15/1.50 % ------ Proving...
% 2.15/1.50 %
% 2.15/1.50
% 2.15/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.50
% 2.15/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.15/1.50
% 2.15/1.50
%------------------------------------------------------------------------------