%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN672-1 : 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 03:41:21 PM UTC 2026
% Result : Unsatisfiable 4.29s 1.31s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 16 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 38 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
fof(f18,negated_conjecture,
~ p3(c40,f14(c38,c39)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_18) ).
fof(f19,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_19) ).
fof(f37,negated_conjecture,
! [X0,X1] : p3(f4(f7(c34,X0),f14(c38,X1)),f14(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X3,X1)
| ~ p9(X2,X0)
| ~ p30(X2,X3)
| p30(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
fof(f40,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_40) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p8(X0,X2)
| ~ p3(X1,X3)
| p9(f10(X0,X1),f10(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_42) ).
fof(f53,negated_conjecture,
! [X0,X1] :
( ~ p31(f20(c36,X1),f17(c37,X0))
| p30(f10(f12(c32,c33),f14(c38,X1)),X0)
| p3(X0,f14(c38,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_53) ).
fof(f54,negated_conjecture,
! [X0,X1] :
( ~ p30(f10(f12(c32,c33),X0),X1)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X0)),f4(f7(c34,c35),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_54) ).
tcf(c_105,negated_conjecture,
! [X0: $i] : p8(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_108,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_120,negated_conjecture,
~ p3(c40,f14(c38,c39)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_121,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_139,negated_conjecture,
! [X0: $i,X1: $i] : p3(f4(f7(c34,X0),f14(c38,X1)),f14(X0,X1)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_141,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p30(X1,X3)
| ~ p30(X0,X2)
| ~ p3(X2,X3)
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_142,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(cnf_transformation,[],[f40]) ).
tcf(c_144,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(f10(X0,X2),f10(X1,X3))
| ~ p3(X2,X3)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_155,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(X1,f14(c38,X0))
| p30(f10(f12(c32,c33),f14(c38,X0)),X1)
| ~ p31(f20(c36,X0),f17(c37,X1)) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_156,negated_conjecture,
! [X0: $i,X1: $i] :
( p30(f10(f12(c32,c33),f4(f7(c34,c35),X0)),f4(f7(c34,c35),X1))
| ~ p30(f10(f12(c32,c33),X0),X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_429,plain,
( p3(c40,f14(c38,c39))
| p30(f10(f12(c32,c33),f14(c38,c39)),c40)
| ~ p31(f20(c36,c39),f17(c37,c40)) ),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_434,plain,
( p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40))
| ~ p30(f10(f12(c32,c33),f14(c38,c39)),c40) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i] :
( p30(X0,X1)
| ~ p3(f4(f7(c34,c35),c40),X1)
| ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),X0)
| ~ p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_513,plain,
! [X0: $i] :
( p30(X0,f4(f7(c34,c35),c40))
| ~ p3(f4(f7(c34,c35),c40),f4(f7(c34,c35),c40))
| ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),X0)
| ~ p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)) ),
inference(instantiation,[status(thm)],[c_446]) ).
tcf(c_514,plain,
p3(f4(f7(c34,c35),c40),f4(f7(c34,c35),c40)),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i] :
( p30(f10(X0,X1),f4(f7(c34,c35),c40))
| ~ p3(f4(f7(c34,c35),c40),f4(f7(c34,c35),c40))
| ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(X0,X1))
| ~ p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)) ),
inference(instantiation,[status(thm)],[c_513]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i] :
( p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(X1,X0))
| ~ p8(f12(c32,c33),X1)
| ~ p3(f4(f7(c34,c35),f14(c38,c39)),X0) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_610,plain,
p8(f12(c32,c33),f12(c32,c33)),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_725,plain,
! [X0: $i] :
( p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(f12(c32,c33),X0))
| ~ p8(f12(c32,c33),f12(c32,c33))
| ~ p3(f4(f7(c34,c35),f14(c38,c39)),X0) ),
inference(instantiation,[status(thm)],[c_588]) ).
tcf(c_1067,plain,
( p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(f12(c32,c33),f14(c35,c39)))
| ~ p8(f12(c32,c33),f12(c32,c33))
| ~ p3(f4(f7(c34,c35),f14(c38,c39)),f14(c35,c39)) ),
inference(instantiation,[status(thm)],[c_725]) ).
tcf(c_1068,plain,
p3(f4(f7(c34,c35),f14(c38,c39)),f14(c35,c39)),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_1101,plain,
( p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40))
| ~ p3(f4(f7(c34,c35),c40),f4(f7(c34,c35),c40))
| ~ p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40))
| ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f10(f12(c32,c33),f14(c35,c39))) ),
inference(instantiation,[status(thm)],[c_587]) ).
tcf(c_1102,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1101,c_1068,c_1067,c_610,c_514,c_434,c_429,c_142,c_121,c_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 02:03:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 4.29/1.31 % SZS status Started for theBenchmark.p
% 4.29/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.29/1.31
% 4.29/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.29/1.31
% 4.29/1.31 % ------ iProver source info
% 4.29/1.31
% 4.29/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.29/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.29/1.31 % git: non_committed_changes: false
% 4.29/1.31
% 4.29/1.31 % ------ Parsing...% successful
% 4.29/1.31
% 4.29/1.31
% 4.29/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.29/1.31
% 4.29/1.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.29/1.31
% 4.29/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.29/1.31 % ------ Proving...
% 4.29/1.31 % ------ Problem Properties
% 4.29/1.31
% 4.29/1.31 %
% 4.29/1.31 % clauses 54
% 4.29/1.31 % conjectures 54
% 4.29/1.31 % EPR 36
% 4.29/1.31 % Horn 53
% 4.29/1.31 % unary 22
% 4.29/1.31 % binary 1
% 4.29/1.31 % lits 119
% 4.29/1.31 % lits eq 0
% 4.29/1.31 % fd_pure 0
% 4.29/1.31 % fd_pseudo 0
% 4.29/1.31 % fd_cond 0
% 4.29/1.31 % fd_pseudo_cond 0
% 4.29/1.31 % AC symbols 0
% 4.29/1.31
% 4.29/1.31 % ------ Schedule dynamic 5 is on
% 4.29/1.31
% 4.29/1.31 % ------ no equalities: superposition off
% 4.29/1.31
% 4.29/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.29/1.31
% 4.29/1.31
% 4.29/1.31 % ------
% 4.29/1.31 % Current options:
% 4.29/1.31 % ------
% 4.29/1.31
% 4.29/1.31
% 4.29/1.31 %
% 4.29/1.31
% 4.29/1.31 % ------ Proving...
% 4.29/1.31 %
% 4.29/1.31
% 4.29/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.29/1.31
% 4.29/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.29/1.31
% 4.29/1.31
%------------------------------------------------------------------------------