%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN713-1 : 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 : 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 3.98s 6.30s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 18 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 113 ( 57 ~; 56 |; 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 : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f14,negated_conjecture,
! [X0] : p40(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40_14) ).
fof(f34,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_34) ).
fof(f35,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_35) ).
fof(f38,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_38) ).
fof(f39,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p57_39) ).
fof(f74,negated_conjecture,
! [X2,X0,X1] :
( ~ p57(f26(X0,X1),X2)
| p57(f26(f28(c71,X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_74) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p4(X3,X0)
| ~ p56(X3,X2)
| ~ p40(X2,X1)
| p56(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_76) ).
fof(f80,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p58_80) ).
fof(f81,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p13(X1,X3)
| ~ p12(X0,X2)
| p10(f14(X0,X1),f14(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_81) ).
fof(f87,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X0,X2)
| ~ p10(X1,X3)
| p4(f11(X0,X1),f11(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_87) ).
fof(f101,negated_conjecture,
! [X2,X0,X1] :
( ~ p56(f11(c65,f14(f17(c66,X1),f23(c74,X2))),X0)
| p57(f26(f41(c78,X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_101) ).
fof(f105,negated_conjecture,
! [X0,X1] :
( ~ p59(f38(c72,X1),f35(c73,X0))
| p58(f31(f33(c75,c76),f23(c69,X1)),f19(f22(c70,c69),X0))
| p13(X0,f23(c74,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_105) ).
tcf(c_155,negated_conjecture,
! [X0: $i] : p9(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_167,negated_conjecture,
! [X0: $i] : p40(X0,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_187,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(cnf_transformation,[],[f34]) ).
tcf(c_188,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
inference(cnf_transformation,[],[f35]) ).
tcf(c_191,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
inference(cnf_transformation,[],[f38]) ).
tcf(c_192,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
inference(cnf_transformation,[],[f39]) ).
tcf(c_227,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p57(f26(f28(c71,X0),X1),X2)
| ~ p57(f26(X0,X1),X2) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_229,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p56(X3,X1)
| ~ p56(X2,X0)
| ~ p4(X2,X3)
| ~ p40(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_233,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
inference(cnf_transformation,[],[f80]) ).
tcf(c_234,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(f14(X2,X0),f14(X3,X1))
| ~ p12(X2,X3)
| ~ p13(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_240,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f11(X2,X0),f11(X3,X1))
| ~ p9(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_254,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p57(f26(f41(c78,X2),X0),X1)
| ~ p56(f11(c65,f14(f17(c66,X0),f23(c74,X1))),X2) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_258,negated_conjecture,
! [X0: $i,X1: $i] :
( p13(X1,f23(c74,X0))
| p58(f31(f33(c75,c76),f23(c69,X0)),f19(f22(c70,c69),X1))
| ~ p59(f38(c72,X0),f35(c73,X1)) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_791,plain,
! [X0: $i,X1: $i] :
( p56(X0,X1)
| ~ p40(c64,X1)
| ~ p56(f11(c65,f14(f17(c66,c67),c68)),c64)
| ~ p4(f11(c65,f14(f17(c66,c67),c68)),X0) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_793,plain,
( p13(c68,f23(c74,c77))
| p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68))
| ~ p59(f38(c72,c77),f35(c73,c68)) ),
inference(instantiation,[status(thm)],[c_258]) ).
tcf(c_797,plain,
p40(c64,c64),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_813,plain,
! [X0: $i] :
( p56(X0,c64)
| ~ p40(c64,c64)
| ~ p56(f11(c65,f14(f17(c66,c67),c68)),c64)
| ~ p4(f11(c65,f14(f17(c66,c67),c68)),X0) ),
inference(instantiation,[status(thm)],[c_791]) ).
tcf(c_820,plain,
! [X0: $i,X1: $i] :
( p57(f26(f41(c78,c64),X0),X1)
| ~ p56(f11(c65,f14(f17(c66,X0),f23(c74,X1))),c64) ),
inference(instantiation,[status(thm)],[c_254]) ).
tcf(c_943,plain,
! [X0: $i,X1: $i] :
( p56(f11(X0,X1),c64)
| ~ p40(c64,c64)
| ~ p56(f11(c65,f14(f17(c66,c67),c68)),c64)
| ~ p4(f11(c65,f14(f17(c66,c67),c68)),f11(X0,X1)) ),
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_944,plain,
! [X0: $i,X1: $i] :
( p4(f11(c65,f14(f17(c66,c67),c68)),f11(X1,X0))
| ~ p9(c65,X1)
| ~ p10(f14(f17(c66,c67),c68),X0) ),
inference(instantiation,[status(thm)],[c_240]) ).
tcf(c_998,plain,
! [X0: $i] :
( p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,X0))
| ~ p9(c65,c65)
| ~ p10(f14(f17(c66,c67),c68),X0) ),
inference(instantiation,[status(thm)],[c_944]) ).
tcf(c_999,plain,
p9(c65,c65),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_1050,plain,
! [X0: $i] :
( p56(f11(c65,X0),c64)
| ~ p40(c64,c64)
| ~ p56(f11(c65,f14(f17(c66,c67),c68)),c64)
| ~ p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,X0)) ),
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_1101,plain,
! [X0: $i,X1: $i] :
( p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,f14(X0,X1)))
| ~ p9(c65,c65)
| ~ p10(f14(f17(c66,c67),c68),f14(X0,X1)) ),
inference(instantiation,[status(thm)],[c_998]) ).
tcf(c_1102,plain,
! [X0: $i,X1: $i] :
( p10(f14(f17(c66,c67),c68),f14(X0,X1))
| ~ p13(c68,X1)
| ~ p12(f17(c66,c67),X0) ),
inference(instantiation,[status(thm)],[c_234]) ).
tcf(c_1206,plain,
! [X0: $i] :
( p10(f14(f17(c66,c67),c68),f14(X0,f23(c74,c77)))
| ~ p13(c68,f23(c74,c77))
| ~ p12(f17(c66,c67),X0) ),
inference(instantiation,[status(thm)],[c_1102]) ).
tcf(c_1301,plain,
( p10(f14(f17(c66,c67),c68),f14(f17(c66,c67),f23(c74,c77)))
| ~ p13(c68,f23(c74,c77))
| ~ p12(f17(c66,c67),f17(c66,c67)) ),
inference(instantiation,[status(thm)],[c_1206]) ).
tcf(c_1302,plain,
p12(f17(c66,c67),f17(c66,c67)),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_1335,plain,
( p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,f14(f17(c66,c67),f23(c74,c77))))
| ~ p9(c65,c65)
| ~ p10(f14(f17(c66,c67),c68),f14(f17(c66,c67),f23(c74,c77))) ),
inference(instantiation,[status(thm)],[c_1101]) ).
tcf(c_1518,plain,
( p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64)
| ~ p40(c64,c64)
| ~ p56(f11(c65,f14(f17(c66,c67),c68)),c64)
| ~ p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,f14(f17(c66,c67),f23(c74,c77)))) ),
inference(instantiation,[status(thm)],[c_1050]) ).
tcf(c_1743,plain,
( p57(f26(f41(c78,c64),c67),c77)
| ~ p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64) ),
inference(instantiation,[status(thm)],[c_820]) ).
tcf(c_1913,plain,
( p57(f26(f28(c71,f41(c78,c64)),c67),c77)
| ~ p57(f26(f41(c78,c64),c67),c77) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_1914,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1913,c_1743,c_1518,c_1335,c_1302,c_1301,c_999,c_797,c_793,c_233,c_192,c_191,c_188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN713-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.39 % Computer : n009.cluster.edu
% 0.09/5.39 % Model : x86_64 x86_64
% 0.09/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.39 % Memory : 8046.5625MB
% 0.09/5.39 % OS : Linux 6.8.0-71-generic
% 0.09/5.39 % CPULimit : 300
% 0.09/5.39 % WCLimit : 300
% 0.09/5.39 % DateTime : Fri Sep 25 02:09:36 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 3.98/6.30 % SZS status Started for theBenchmark.p
% 3.98/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.98/6.30
% 3.98/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.98/6.30
% 3.98/6.30 % ------ iProver source info
% 3.98/6.30
% 3.98/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.98/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.98/6.30 % git: non_committed_changes: false
% 3.98/6.30
% 3.98/6.30 % ------ Parsing...% successful
% 3.98/6.30
% 3.98/6.30
% 3.98/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.98/6.30
% 3.98/6.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.98/6.30
% 3.98/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.98/6.30 % ------ Proving...
% 3.98/6.30 % ------ Problem Properties
% 3.98/6.30
% 3.98/6.30 %
% 3.98/6.30 % clauses 105
% 3.98/6.30 % conjectures 105
% 3.98/6.30 % EPR 73
% 3.98/6.30 % Horn 104
% 3.98/6.30 % unary 40
% 3.98/6.30 % binary 5
% 3.98/6.30 % lits 235
% 3.98/6.30 % lits eq 0
% 3.98/6.30 % fd_pure 0
% 3.98/6.30 % fd_pseudo 0
% 3.98/6.30 % fd_cond 0
% 3.98/6.30 % fd_pseudo_cond 0
% 3.98/6.30 % AC symbols 0
% 3.98/6.30
% 3.98/6.30 % ------ Schedule dynamic 5 is on
% 3.98/6.30
% 3.98/6.30 % ------ no equalities: superposition off
% 3.98/6.30
% 3.98/6.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.98/6.30
% 3.98/6.30
% 3.98/6.30 % ------
% 3.98/6.30 % Current options:
% 3.98/6.30 % ------
% 3.98/6.30
% 3.98/6.30
% 3.98/6.30 %
% 3.98/6.30
% 3.98/6.30 % ------ Proving...
% 3.98/6.30 %
% 3.98/6.30
% 3.98/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.98/6.30
% 3.98/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.98/6.30
% 3.98/6.30
%------------------------------------------------------------------------------