%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN596-1 : 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 : n006.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 03:41:10 PM UTC 2026
% Result : Unsatisfiable 2.10s 1.29s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 34 ( 25 unt; 8 def)
% Number of atoms : 82 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_15) ).
fof(f20,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_20) ).
fof(f21,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p18_21) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_23) ).
fof(f28,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_28) ).
tcf(c_77,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p10(X1,X2)
| ~ p10(X0,X2)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_96,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[],[f20]) ).
tcf(c_97,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_99,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p18(X3,X1)
| ~ p18(X2,X0)
| ~ p2(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_104,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[],[f28]) ).
tcf(c_106,plain,
p2(c20,c20),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_337,definition,
iPr_def_10 = f15(c20),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_338,definition,
iPr_def_11 = f4(c20),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_339,definition,
iPr_def_12 = f14(iPr_def_11,c22),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_340,definition,
iPr_def_13 = f13(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_341,definition,
iPr_def_14 = f11(iPr_def_13,c23,c24),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_342,definition,
iPr_def_15 = f14(iPr_def_11,c21),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_343,definition,
iPr_def_16 = f13(iPr_def_10,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_344,definition,
iPr_def_17 = f11(iPr_def_16,c23,c24),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_345,negated_conjecture,
p10(iPr_def_14,iPr_def_17),
inference(demodulation,[status(thm)],[c_104,c_342,c_343,c_344,c_338,c_339,c_337,c_340,c_341]) ).
tcf(c_349,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p18(X3,X1)
| ~ p18(X2,X0)
| ~ p2(X2,X3)
| ~ p10(X0,X1) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_350,negated_conjecture,
~ p18(c20,iPr_def_14),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_351,negated_conjecture,
p18(c20,iPr_def_17),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_356,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p10(X1,X2)
| ~ p10(X0,X2)
| ~ p10(X0,X1) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_367,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_877,plain,
! [X0: $i] :
( p10(iPr_def_17,X0)
| ~ p10(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_345,c_356]) ).
tcf(c_947,plain,
p10(iPr_def_17,iPr_def_14),
inference(superposition,[status(thm)],[c_367,c_877]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i] :
( p18(X1,iPr_def_14)
| ~ p18(X0,iPr_def_17)
| ~ p2(X0,X1) ),
inference(superposition,[status(thm)],[c_947,c_349]) ).
tcf(c_989,plain,
( p18(c20,iPr_def_14)
| ~ p18(c20,iPr_def_17)
| ~ p2(c20,c20) ),
inference(instantiation,[status(thm)],[c_979]) ).
tcf(c_990,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_989,c_351,c_350,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 01:49:42 UTC 2026
% 0.03/0.38 % CPUTime :
% 0.03/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.41 Running first-order theorem proving
% 0.03/0.41 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
% 0.03/0.42
% 0.03/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.42
% 0.03/0.42 % Detected problem language: tptp
% 0.03/0.43 % Proving...
% 2.10/1.29 % SZS status Started for theBenchmark.p
% 2.10/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.10/1.29
% 2.10/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.10/1.29
% 2.10/1.29 % ------ iProver source info
% 2.10/1.29
% 2.10/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.10/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.10/1.29 % git: non_committed_changes: false
% 2.10/1.29
% 2.10/1.29 % ------ Parsing...% successful
% 2.10/1.29
% 2.10/1.29
% 2.10/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.10/1.29
% 2.10/1.29 % ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.10/1.29
% 2.10/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.10/1.29
% 2.10/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.10/1.29 % ------ Proving...
% 2.10/1.29 % ------ Problem Properties
% 2.10/1.29
% 2.10/1.29 %
% 2.10/1.29 % clauses 31
% 2.10/1.29 % conjectures 23
% 2.10/1.29 % EPR 14
% 2.10/1.29 % Horn 31
% 2.10/1.29 % unary 16
% 2.10/1.29 % binary 6
% 2.10/1.29 % lits 57
% 2.10/1.29 % lits eq 8
% 2.10/1.29 % fd_pure 0
% 2.10/1.29 % fd_pseudo 0
% 2.10/1.29 % fd_cond 0
% 2.10/1.29 % fd_pseudo_cond 0
% 2.10/1.29 % AC symbols 0
% 2.10/1.29
% 2.10/1.29 % ------ Schedule dynamic 5 is on
% 2.10/1.29
% 2.10/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.10/1.29
% 2.10/1.29
% 2.10/1.29 % ------
% 2.10/1.29 % Current options:
% 2.10/1.29 % ------
% 2.10/1.29
% 2.10/1.29
% 2.10/1.29 %
% 2.10/1.29
% 2.10/1.29 % ------ Proving...
% 2.10/1.29 %
% 2.10/1.29
% 2.10/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.10/1.29
% 2.10/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.10/1.29
% 2.10/1.29
%------------------------------------------------------------------------------