%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN561-1 : 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 : n007.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 3.02s 1.31s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 28 unt; 5 def)
% Number of atoms : 90 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 30 ~; 23 |; 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; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
p9(c14,c10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f3,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
fof(f4,negated_conjecture,
p2(f7(c10,c14),c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p2(f6(c15,c11),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
p2(f3(f4(f5(c12)),c13),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( ~ p2(f6(X1,c11),f3(f4(f5(c12)),c13))
| ~ p2(f7(c10,X0),X1)
| ~ p8(c11,X0)
| ~ p9(X0,c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_15) ).
tcf(c_64,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,negated_conjecture,
p9(c14,c10),
inference(cnf_transformation,[],[f2]) ).
tcf(c_66,negated_conjecture,
p8(c11,c14),
inference(cnf_transformation,[],[f3]) ).
tcf(c_67,negated_conjecture,
p2(f7(c10,c14),c15),
inference(cnf_transformation,[],[f4]) ).
tcf(c_68,negated_conjecture,
p2(f6(c15,c11),c16),
inference(cnf_transformation,[],[f5]) ).
tcf(c_69,negated_conjecture,
p2(f3(f4(f5(c12)),c13),c16),
inference(cnf_transformation,[],[f6]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p8(c11,X1)
| ~ p9(X1,c10)
| ~ p2(f7(c10,X1),X0)
| ~ p2(f6(X0,c11),f3(f4(f5(c12)),c13)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_154,definition,
iPr_def_10 = f5(c12),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_155,definition,
iPr_def_11 = f4(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_156,definition,
iPr_def_12 = f3(iPr_def_11,c13),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_157,definition,
iPr_def_13 = f6(c15,c11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_158,definition,
iPr_def_14 = f7(c10,c14),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_159,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p8(c11,X0)
| ~ p9(X0,c10)
| ~ p2(f6(X1,c11),iPr_def_12)
| ~ p2(f7(c10,X0),X1) ),
inference(demodulation,[status(thm)],[c_78,c_154,c_155,c_156]) ).
tcf(c_165,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_168,negated_conjecture,
p2(iPr_def_12,c16),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_169,negated_conjecture,
p2(iPr_def_13,c16),
inference(demodulation,[status(thm)],[c_68,c_157]) ).
tcf(c_170,negated_conjecture,
p2(iPr_def_14,c15),
inference(demodulation,[status(thm)],[c_67,c_158]) ).
tcf(c_171,negated_conjecture,
p8(c11,c14),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_172,negated_conjecture,
p9(c14,c10),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_173,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_502,plain,
! [X0: $i] :
( ~ p8(c11,c14)
| ~ p9(c14,c10)
| ~ p2(iPr_def_14,X0)
| ~ p2(f6(X0,c11),iPr_def_12) ),
inference(superposition,[status(thm)],[c_158,c_159]) ).
tcf(c_503,plain,
! [X0: $i] :
( ~ p2(iPr_def_14,X0)
| ~ p2(f6(X0,c11),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502,c_171,c_172]) ).
tcf(c_531,plain,
! [X0: $i] :
( p2(c16,X0)
| ~ p2(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_168,c_165]) ).
tcf(c_532,plain,
! [X0: $i] :
( p2(c16,X0)
| ~ p2(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_169,c_165]) ).
tcf(c_812,plain,
p2(c16,iPr_def_12),
inference(superposition,[status(thm)],[c_173,c_531]) ).
tcf(c_845,plain,
p2(c16,iPr_def_13),
inference(superposition,[status(thm)],[c_173,c_532]) ).
tcf(c_849,plain,
! [X0: $i] :
( p2(iPr_def_13,X0)
| ~ p2(c16,X0) ),
inference(superposition,[status(thm)],[c_845,c_165]) ).
tcf(c_945,plain,
p2(iPr_def_13,iPr_def_12),
inference(superposition,[status(thm)],[c_812,c_849]) ).
tcf(c_991,plain,
( ~ p2(iPr_def_14,c15)
| ~ p2(iPr_def_13,iPr_def_12) ),
inference(superposition,[status(thm)],[c_157,c_503]) ).
tcf(c_992,plain,
~ p2(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_991,c_170]) ).
tcf(c_993,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_992,c_945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN561-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 01:43:24 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 3.02/1.31 % SZS status Started for theBenchmark.p
% 3.02/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.31
% 3.02/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.02/1.31
% 3.02/1.31 % ------ iProver source info
% 3.02/1.31
% 3.02/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.02/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.02/1.31 % git: non_committed_changes: false
% 3.02/1.31
% 3.02/1.31 % ------ Parsing...% successful
% 3.02/1.31
% 3.02/1.31
% 3.02/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.02/1.31
% 3.02/1.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.02/1.31
% 3.02/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.02/1.31
% 3.02/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.02/1.31 % ------ Proving...
% 3.02/1.31 % ------ Problem Properties
% 3.02/1.31
% 3.02/1.31 %
% 3.02/1.31 % clauses 20
% 3.02/1.31 % conjectures 15
% 3.02/1.31 % EPR 9
% 3.02/1.31 % Horn 20
% 3.02/1.31 % unary 11
% 3.02/1.31 % binary 2
% 3.02/1.31 % lits 39
% 3.02/1.31 % lits eq 5
% 3.02/1.31 % fd_pure 0
% 3.02/1.31 % fd_pseudo 0
% 3.02/1.31 % fd_cond 0
% 3.02/1.31 % fd_pseudo_cond 0
% 3.02/1.31 % AC symbols 0
% 3.02/1.31
% 3.02/1.31 % ------ Schedule dynamic 5 is on
% 3.02/1.31
% 3.02/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.02/1.31
% 3.02/1.31
% 3.02/1.31 % ------
% 3.02/1.31 % Current options:
% 3.02/1.31 % ------
% 3.02/1.31
% 3.02/1.31
% 3.02/1.31 %
% 3.02/1.31
% 3.02/1.31 % ------ Proving...
% 3.02/1.31 %
% 3.02/1.31
% 3.02/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.31
% 3.02/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.02/1.31
% 3.02/1.31
%------------------------------------------------------------------------------