%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN630-1 : 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 : n017.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 03:41:15 PM UTC 2026
% Result : Unsatisfiable 3.03s 1.27s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 9 ( 3 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 : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_5) ).
fof(f6,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_6) ).
fof(f12,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_12) ).
fof(f17,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_17) ).
fof(f30,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_30) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p3(X3,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X4),f15(f16(f9(f10(f11(c29)))),X2)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X1,f9(f11(c29)))),X4)
| ~ p21(X4,f12(f9(f10(f11(c29))),X1))
| ~ p21(X5,f9(f10(f11(c29))))
| p4(f5(f7(X0,f8(X1,X2)),X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).
tcf(c_89,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_90,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_96,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
inference(cnf_transformation,[],[f12]) ).
tcf(c_101,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
inference(cnf_transformation,[],[f17]) ).
tcf(c_114,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
inference(cnf_transformation,[],[f30]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p4(f5(f7(X6,f8(X5,X4)),X0),X3)
| ~ p21(X1,f9(f10(f11(c29))))
| ~ p21(X3,f12(f9(f10(f11(c29))),X5))
| ~ p22(f12(f9(f10(f11(c29))),f18(X5,f9(f11(c29)))),X3)
| ~ p3(X0,f13(f15(f17(f16(f9(f11(c29)))),X1),f13(f15(f16(f9(f10(f11(c29)))),X2),f14(f16(X3),f15(f16(f9(f10(f11(c29)))),X4))))) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p4(f5(f7(X5,f8(X4,X3)),X0),X2)
| ~ p21(c28,f9(f10(f11(c29))))
| ~ p21(X2,f12(f9(f10(f11(c29))),X4))
| ~ p22(f12(f9(f10(f11(c29))),f18(X4,f9(f11(c29)))),X2)
| ~ p3(X0,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),X1),f14(f16(X2),f15(f16(f9(f10(f11(c29)))),X3))))) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(f7(X3,f8(c24,X2)),X0),c27)
| ~ p21(c28,f9(f10(f11(c29))))
| ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| ~ p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)
| ~ p3(X0,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),X1),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),X2))))) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_453,plain,
! [X0: $i] :
( p4(f5(f7(X0,f8(c24,c25)),c26),c27)
| ~ p21(c28,f9(f10(f11(c29))))
| ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| ~ p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)
| ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))) ),
inference(instantiation,[status(thm)],[c_411]) ).
tcf(c_490,plain,
( p4(f5(f7(c23,f8(c24,c25)),c26),c27)
| ~ p21(c28,f9(f10(f11(c29))))
| ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| ~ p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)
| ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_491,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_490,c_114,c_101,c_96,c_90,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 01:51:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.03/1.27 % SZS status Started for theBenchmark.p
% 3.03/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.03/1.27
% 3.03/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.03/1.27
% 3.03/1.27 % ------ iProver source info
% 3.03/1.27
% 3.03/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.03/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.03/1.27 % git: non_committed_changes: false
% 3.03/1.27
% 3.03/1.27 % ------ Parsing...% successful
% 3.03/1.27
% 3.03/1.27
% 3.03/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.03/1.27
% 3.03/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.03/1.27
% 3.03/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.03/1.27 % ------ Proving...
% 3.03/1.27 % ------ Problem Properties
% 3.03/1.27
% 3.03/1.27 %
% 3.03/1.27 % clauses 36
% 3.03/1.27 % conjectures 36
% 3.03/1.27 % EPR 10
% 3.03/1.27 % Horn 34
% 3.03/1.27 % unary 9
% 3.03/1.27 % binary 5
% 3.03/1.27 % lits 101
% 3.03/1.27 % lits eq 0
% 3.03/1.27 % fd_pure 0
% 3.03/1.27 % fd_pseudo 0
% 3.03/1.27 % fd_cond 0
% 3.03/1.27 % fd_pseudo_cond 0
% 3.03/1.27 % AC symbols 0
% 3.03/1.27
% 3.03/1.27 % ------ Schedule dynamic 5 is on
% 3.03/1.27
% 3.03/1.27 % ------ no equalities: superposition off
% 3.03/1.27
% 3.03/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.03/1.27
% 3.03/1.27
% 3.03/1.27 % ------
% 3.03/1.27 % Current options:
% 3.03/1.27 % ------
% 3.03/1.27
% 3.03/1.27
% 3.03/1.27 %
% 3.03/1.27
% 3.03/1.27 % ------ Proving...
% 3.03/1.27 %
% 3.03/1.27
% 3.03/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.03/1.27
% 3.03/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.03/1.27
% 3.03/1.27
%------------------------------------------------------------------------------