%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN688-1 : 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 : n026.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 03:41:23 PM UTC 2026
% Result : Unsatisfiable 3.57s 1.28s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 88 ( 45 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p27(c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c34_is_p27_1) ).
fof(f2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43_is_p27_2) ).
fof(f10,negated_conjecture,
! [X0] : p18(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
fof(f16,negated_conjecture,
~ p25(f17(c43),c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p25_16) ).
fof(f17,negated_conjecture,
! [X0] :
( ~ p27(X0)
| p27(f17(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
fof(f18,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_18) ).
fof(f31,negated_conjecture,
! [X0] :
( ~ p27(X0)
| p18(f19(f17(X0)),f20(f19(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_31) ).
fof(f37,negated_conjecture,
! [X2,X0,X1] :
( ~ p18(X2,X1)
| ~ p18(X2,X0)
| p18(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_37) ).
fof(f40,negated_conjecture,
! [X0,X1] :
( ~ p28(f19(X0),f19(X1))
| ~ p27(X1)
| ~ p27(X0)
| p25(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_40) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p18(X3,X0)
| ~ p28(X3,X2)
| ~ p18(X2,X1)
| p28(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_44) ).
tcf(c_111,negated_conjecture,
p27(c34),
inference(cnf_transformation,[],[f1]) ).
tcf(c_112,negated_conjecture,
p27(c43),
inference(cnf_transformation,[],[f2]) ).
tcf(c_120,negated_conjecture,
! [X0: $i] : p18(X0,X0),
inference(cnf_transformation,[],[f10]) ).
tcf(c_126,negated_conjecture,
~ p25(f17(c43),c34),
inference(cnf_transformation,[],[f16]) ).
tcf(c_127,negated_conjecture,
! [X0: $i] :
( p27(f17(X0))
| ~ p27(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_128,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_141,negated_conjecture,
! [X0: $i] :
( p18(f19(f17(X0)),f20(f19(X0)))
| ~ p27(X0) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_147,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p18(X1,X2)
| ~ p18(X0,X2)
| ~ p18(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_150,negated_conjecture,
! [X0: $i,X1: $i] :
( p25(X0,X1)
| ~ p27(X1)
| ~ p27(X0)
| ~ p28(f19(X0),f19(X1)) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_154,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p28(X1,X3)
| ~ p28(X0,X2)
| ~ p18(X2,X3)
| ~ p18(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_622,plain,
( p27(f17(c43))
| ~ p27(c43) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_625,plain,
( p18(f19(f17(c43)),f20(f19(c43)))
| ~ p27(c43) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( p28(X0,X1)
| ~ p18(f19(c34),X1)
| ~ p18(f20(f19(c43)),X0)
| ~ p28(f20(f19(c43)),f19(c34)) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_656,plain,
! [X0: $i] :
( p25(f17(c43),X0)
| ~ p27(X0)
| ~ p27(f17(c43))
| ~ p28(f19(f17(c43)),f19(X0)) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_718,plain,
! [X0: $i] :
( p28(X0,f19(c34))
| ~ p18(f19(c34),f19(c34))
| ~ p18(f20(f19(c43)),X0)
| ~ p28(f20(f19(c43)),f19(c34)) ),
inference(instantiation,[status(thm)],[c_645]) ).
tcf(c_719,plain,
p18(f19(c34),f19(c34)),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_837,plain,
! [X0: $i,X1: $i] :
( p18(f20(f19(c43)),X1)
| ~ p18(X0,X1)
| ~ p18(X0,f20(f19(c43))) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_1000,plain,
( p25(f17(c43),c34)
| ~ p27(c34)
| ~ p27(f17(c43))
| ~ p28(f19(f17(c43)),f19(c34)) ),
inference(instantiation,[status(thm)],[c_656]) ).
tcf(c_2227,plain,
! [X0: $i] :
( p18(f20(f19(c43)),X0)
| ~ p18(f19(f17(c43)),X0)
| ~ p18(f19(f17(c43)),f20(f19(c43))) ),
inference(instantiation,[status(thm)],[c_837]) ).
tcf(c_2835,plain,
( p18(f20(f19(c43)),f19(f17(c43)))
| ~ p18(f19(f17(c43)),f20(f19(c43)))
| ~ p18(f19(f17(c43)),f19(f17(c43))) ),
inference(instantiation,[status(thm)],[c_2227]) ).
tcf(c_2836,plain,
p18(f19(f17(c43)),f19(f17(c43))),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_2880,plain,
( p28(f19(f17(c43)),f19(c34))
| ~ p18(f19(c34),f19(c34))
| ~ p28(f20(f19(c43)),f19(c34))
| ~ p18(f20(f19(c43)),f19(f17(c43))) ),
inference(instantiation,[status(thm)],[c_718]) ).
tcf(c_2881,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2880,c_2836,c_2835,c_1000,c_719,c_625,c_622,c_128,c_126,c_111,c_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 02:08:10 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.57/1.28 % SZS status Started for theBenchmark.p
% 3.57/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.28
% 3.57/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.57/1.28
% 3.57/1.28 % ------ iProver source info
% 3.57/1.28
% 3.57/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.57/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.57/1.28 % git: non_committed_changes: false
% 3.57/1.28
% 3.57/1.28 % ------ Parsing...% successful
% 3.57/1.28
% 3.57/1.28
% 3.57/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.57/1.28
% 3.57/1.28 % ------ Preprocessing... sf_s rm: 21 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.57/1.28
% 3.57/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.57/1.28 % ------ Proving...
% 3.57/1.28 % ------ Problem Properties
% 3.57/1.28
% 3.57/1.28 %
% 3.57/1.28 % clauses 41
% 3.57/1.28 % conjectures 41
% 3.57/1.28 % EPR 16
% 3.57/1.28 % Horn 41
% 3.57/1.28 % unary 18
% 3.57/1.28 % binary 9
% 3.57/1.28 % lits 82
% 3.57/1.28 % lits eq 0
% 3.57/1.28 % fd_pure 0
% 3.57/1.28 % fd_pseudo 0
% 3.57/1.28 % fd_cond 0
% 3.57/1.28 % fd_pseudo_cond 0
% 3.57/1.28 % AC symbols 0
% 3.57/1.28
% 3.57/1.28 % ------ Schedule dynamic 5 is on
% 3.57/1.28
% 3.57/1.28 % ------ no equalities: superposition off
% 3.57/1.28
% 3.57/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.57/1.28
% 3.57/1.28
% 3.57/1.28 % ------
% 3.57/1.28 % Current options:
% 3.57/1.28 % ------
% 3.57/1.28
% 3.57/1.28
% 3.57/1.28 %
% 3.57/1.28
% 3.57/1.28 % ------ Proving...
% 3.57/1.28 %
% 3.57/1.28
% 3.57/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.28
% 3.57/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.28
% 3.57/1.28
%------------------------------------------------------------------------------