%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN567-1 : 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 : n010.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 03:41:06 PM UTC 2026
% Result : Unsatisfiable 1.69s 1.26s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 35 ( 25 unt; 9 def)
% Number of atoms : 112 ( 9 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 47 ( 19 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p5(f8(f6(X0)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
fof(f4,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_4) ).
fof(f5,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_5) ).
fof(f6,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_6) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ p5(X0,X1)
| p2(f6(X0),f6(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_12) ).
fof(f19,negated_conjecture,
! [X0] :
( ~ p2(f6(f8(X0)),X0)
| p2(X0,f3(f7(f7(f7(f4(c10))))))
| p2(X0,f3(f7(f7(f4(c10)))))
| p2(X0,f3(f7(f4(c10))))
| p2(X0,f3(f4(c10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).
tcf(c_70,negated_conjecture,
! [X0: $i] : p5(f8(f6(X0)),X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_71,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_72,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_73,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_77,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f6(X0),f6(X1))
| ~ p5(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_79,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] :
( p2(X0,f3(f4(c10)))
| p2(X0,f3(f7(f4(c10))))
| p2(X0,f3(f7(f7(f4(c10)))))
| p2(X0,f3(f7(f7(f7(f4(c10))))))
| ~ p2(f6(f8(X0)),X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_172,definition,
iPr_def_10 = f4(c10),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_173,definition,
iPr_def_11 = f7(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_174,definition,
iPr_def_12 = f7(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_175,definition,
iPr_def_13 = f7(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_176,definition,
iPr_def_14 = f3(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_177,definition,
iPr_def_15 = f3(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_178,definition,
iPr_def_16 = f3(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_179,definition,
iPr_def_17 = f3(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_180,definition,
iPr_def_18 = f6(c9),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_181,negated_conjecture,
! [X0: $i] :
( p2(X0,iPr_def_17)
| p2(X0,iPr_def_16)
| p2(X0,iPr_def_15)
| p2(X0,iPr_def_14)
| ~ p2(f6(f8(X0)),X0) ),
inference(demodulation,[status(thm)],[c_86,c_179,c_178,c_177,c_172,c_173,c_174,c_175,c_176]) ).
tcf(c_188,negated_conjecture,
~ p2(iPr_def_18,iPr_def_14),
inference(demodulation,[status(thm)],[c_79,c_180]) ).
tcf(c_190,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f6(X0),f6(X1))
| ~ p5(X0,X1) ),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_194,negated_conjecture,
~ p2(iPr_def_18,iPr_def_15),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_195,negated_conjecture,
~ p2(iPr_def_18,iPr_def_16),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_196,negated_conjecture,
~ p2(iPr_def_18,iPr_def_17),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_197,negated_conjecture,
! [X0: $i] : p5(f8(f6(X0)),X0),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_536,plain,
! [X0: $i] :
( p2(f6(X0),iPr_def_17)
| p2(f6(X0),iPr_def_16)
| p2(f6(X0),iPr_def_15)
| p2(f6(X0),iPr_def_14)
| ~ p5(f8(f6(X0)),X0) ),
inference(superposition,[status(thm)],[c_190,c_181]) ).
tcf(c_537,plain,
! [X0: $i] :
( p2(f6(X0),iPr_def_17)
| p2(f6(X0),iPr_def_16)
| p2(f6(X0),iPr_def_15)
| p2(f6(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_536,c_197]) ).
tcf(c_875,plain,
( p2(iPr_def_18,iPr_def_17)
| p2(f6(c9),iPr_def_16)
| p2(f6(c9),iPr_def_15)
| p2(f6(c9),iPr_def_14) ),
inference(superposition,[status(thm)],[c_180,c_537]) ).
tcf(c_878,plain,
( p2(iPr_def_18,iPr_def_17)
| p2(iPr_def_18,iPr_def_16)
| p2(iPr_def_18,iPr_def_15)
| p2(iPr_def_18,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_875,c_180]) ).
tcf(c_879,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_878,c_196,c_195,c_194,c_188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 01:44:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 1.69/1.26 % SZS status Started for theBenchmark.p
% 1.69/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.26
% 1.69/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.26
% 1.69/1.26 % ------ iProver source info
% 1.69/1.26
% 1.69/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.26 % git: non_committed_changes: false
% 1.69/1.26
% 1.69/1.26 % ------ Parsing...% successful
% 1.69/1.26
% 1.69/1.26
% 1.69/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.26
% 1.69/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.69/1.26
% 1.69/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.69/1.26
% 1.69/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.69/1.26 % ------ Proving...
% 1.69/1.26 % ------ Problem Properties
% 1.69/1.26
% 1.69/1.26 %
% 1.69/1.26 % clauses 28
% 1.69/1.26 % conjectures 19
% 1.69/1.26 % EPR 8
% 1.69/1.26 % Horn 27
% 1.69/1.26 % unary 16
% 1.69/1.26 % binary 9
% 1.69/1.26 % lits 45
% 1.69/1.26 % lits eq 9
% 1.69/1.26 % fd_pure 0
% 1.69/1.26 % fd_pseudo 0
% 1.69/1.26 % fd_cond 0
% 1.69/1.26 % fd_pseudo_cond 0
% 1.69/1.26 % AC symbols 0
% 1.69/1.26
% 1.69/1.26 % ------ Schedule dynamic 5 is on
% 1.69/1.26
% 1.69/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.26
% 1.69/1.26
% 1.69/1.26 % ------
% 1.69/1.26 % Current options:
% 1.69/1.26 % ------
% 1.69/1.26
% 1.69/1.26
% 1.69/1.26 %
% 1.69/1.26
% 1.69/1.26 % ------ Proving...
% 1.69/1.26 %
% 1.69/1.26
% 1.69/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.26
% 1.69/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.27
% 1.69/1.27
%------------------------------------------------------------------------------