%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN716-1 : 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 : n009.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 03:41:27 PM UTC 2026
% Result : Unsatisfiable 3.81s 1.36s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 10 ( 3 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 : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
! [X0] : p32(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_20) ).
fof(f28,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
fof(f34,negated_conjecture,
~ p62(c67,c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p62_34) ).
fof(f68,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p32(X3,X1)
| ~ p62(X2,X3)
| ~ p4(X2,X0)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_68) ).
fof(f86,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_86) ).
fof(f97,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p62(f5(c64,f16(f19(f21(c66,X0),X2),X3)),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
fof(f99,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_99) ).
fof(f100,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
fof(f106,negated_conjecture,
! [X2,X3,X0,X1,X4] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_106) ).
tcf(c_174,negated_conjecture,
! [X0: $i] : p32(X0,X0),
inference(cnf_transformation,[],[f20]) ).
tcf(c_182,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f28]) ).
tcf(c_188,negated_conjecture,
~ p62(c67,c72),
inference(cnf_transformation,[],[f34]) ).
tcf(c_222,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p62(X1,X3)
| ~ p62(X0,X2)
| ~ p32(X2,X3)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_240,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(X2,X0),f5(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_251,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p62(X0,X3)
| ~ p62(f5(c64,f16(f19(f21(c66,X0),X1),X2)),X3) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_253,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p62(X0,X5)
| ~ p62(f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4),X5) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_254,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
inference(cnf_transformation,[],[f100]) ).
tcf(c_260,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
inference(cnf_transformation,[],[f106]) ).
tcf(c_1216,plain,
! [X0: $i,X1: $i] :
( p62(X0,X1)
| ~ p32(c72,X1)
| ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
| ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0) ),
inference(instantiation,[status(thm)],[c_222]) ).
tcf(c_1223,plain,
! [X0: $i] :
( p62(X0,c72)
| ~ p32(c72,c72)
| ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
| ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0) ),
inference(instantiation,[status(thm)],[c_1216]) ).
tcf(c_1224,plain,
p32(c72,c72),
inference(instantiation,[status(thm)],[c_174]) ).
tcf(c_1232,plain,
! [X0: $i,X1: $i,X2: $i] :
( p62(f5(c64,f16(f19(f21(c66,X0),X1),X2)),c72)
| ~ p32(c72,c72)
| ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
| ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,X0),X1),X2))) ),
inference(instantiation,[status(thm)],[c_1223]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i,X2: $i] :
( p62(X0,c72)
| ~ p62(f5(c64,f16(f19(f21(c66,X0),X1),X2)),c72) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p62(X0,c72)
| ~ p62(f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4),c72) ),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_1266,plain,
! [X0: $i,X1: $i] :
( p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(X1,X0))
| ~ p2(c64,X1)
| ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X0) ),
inference(instantiation,[status(thm)],[c_240]) ).
tcf(c_1304,plain,
! [X0: $i] :
( p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,X0))
| ~ p2(c64,c64)
| ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X0) ),
inference(instantiation,[status(thm)],[c_1266]) ).
tcf(c_1305,plain,
p2(c64,c64),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_1356,plain,
( p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))))
| ~ p2(c64,c64)
| ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))) ),
inference(instantiation,[status(thm)],[c_1304]) ).
tcf(c_1357,plain,
p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),
inference(instantiation,[status(thm)],[c_260]) ).
tcf(c_1434,plain,
( p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72)
| ~ p32(c72,c72)
| ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
| ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))) ),
inference(instantiation,[status(thm)],[c_1232]) ).
tcf(c_1679,plain,
( p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72)
| ~ p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) ),
inference(instantiation,[status(thm)],[c_1233]) ).
tcf(c_1901,plain,
( p62(c67,c72)
| ~ p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_1902,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1901,c_1679,c_1434,c_1357,c_1356,c_1305,c_1224,c_254,c_188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN716-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 02:09:44 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.14/0.45
% 0.14/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.45
% 0.14/0.45 % Detected problem language: tptp
% 0.14/0.47 % Proving...
% 3.81/1.36 % SZS status Started for theBenchmark.p
% 3.81/1.36 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.36
% 3.81/1.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.81/1.36
% 3.81/1.36 % ------ iProver source info
% 3.81/1.36
% 3.81/1.36 % git: date: 2026-07-19 20:42:38 +0200
% 3.81/1.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.81/1.36 % git: non_committed_changes: false
% 3.81/1.36
% 3.81/1.36 % ------ Parsing...% successful
% 3.81/1.36
% 3.81/1.36
% 3.81/1.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.81/1.36
% 3.81/1.36 % ------ Preprocessing... sf_s rm: 14 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.81/1.36
% 3.81/1.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.81/1.36 % ------ Proving...
% 3.81/1.36 % ------ Problem Properties
% 3.81/1.36
% 3.81/1.36 %
% 3.81/1.36 % clauses 91
% 3.81/1.36 % conjectures 91
% 3.81/1.36 % EPR 60
% 3.81/1.36 % Horn 91
% 3.81/1.36 % unary 32
% 3.81/1.36 % binary 5
% 3.81/1.36 % lits 205
% 3.81/1.36 % lits eq 0
% 3.81/1.36 % fd_pure 0
% 3.81/1.36 % fd_pseudo 0
% 3.81/1.36 % fd_cond 0
% 3.81/1.36 % fd_pseudo_cond 0
% 3.81/1.36 % AC symbols 0
% 3.81/1.36
% 3.81/1.36 % ------ Schedule dynamic 5 is on
% 3.81/1.36
% 3.81/1.36 % ------ no equalities: superposition off
% 3.81/1.36
% 3.81/1.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.81/1.36
% 3.81/1.36
% 3.81/1.36 % ------
% 3.81/1.36 % Current options:
% 3.81/1.36 % ------
% 3.81/1.36
% 3.81/1.36
% 3.81/1.36 %
% 3.81/1.36
% 3.81/1.36 % ------ Proving...
% 3.81/1.36 %
% 3.81/1.36
% 3.81/1.36 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.36
% 3.81/1.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.37
% 3.81/1.37
%------------------------------------------------------------------------------