%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN690-1 : 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 : n003.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 03:41:24 PM UTC 2026
% Result : Unsatisfiable 3.75s 1.32s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 45 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 7 ( 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 : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).
fof(f20,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_20) ).
fof(f21,negated_conjecture,
! [X0] : p4(f5(c40,X0),f5(f7(c39,c40),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_21) ).
fof(f22,negated_conjecture,
! [X0] : p4(f5(c38,X0),f5(f7(c39,c38),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_22) ).
fof(f57,negated_conjecture,
! [X2,X0,X1] :
( p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1)
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
fof(f58,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(f5(X0,f12(f14(f16(c41,X0),X2),X1)),f5(X2,f12(f14(f16(c41,X0),X2),X1)))
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p35(f10(X2,X4),f30(f32(c42,X2),X3))
| ~ p34(c36,X2)
| p4(f5(f26(f28(c43,X2),X3),X4),f5(f26(f28(c44,X2),X3),X4))
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).
fof(f62,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p4(f5(f7(X3,f26(f28(c43,X2),X3)),f30(f32(c42,X2),X3)),f5(f7(X3,f26(f28(c44,X2),X3)),f30(f32(c42,X2),X3)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p34(c36,X2)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
tcf(c_129,negated_conjecture,
p34(c36,c37),
inference(cnf_transformation,[],[f19]) ).
tcf(c_130,negated_conjecture,
~ p2(c38,c40),
inference(cnf_transformation,[],[f20]) ).
tcf(c_131,negated_conjecture,
! [X0: $i] : p4(f5(c40,X0),f5(f7(c39,c40),X0)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_132,negated_conjecture,
! [X0: $i] : p4(f5(c38,X0),f5(f7(c39,c38),X0)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_167,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1)
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_168,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(f5(f7(c39,X0),X2),f5(f7(c39,X1),X2))
| ~ p4(f5(X0,f12(f14(f16(c41,X0),X1),X2)),f5(X1,f12(f14(f16(c41,X0),X1),X2))) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_171,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p2(X0,X3)
| p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4))
| ~ p34(c36,X1)
| ~ p35(f10(X1,X4),f30(f32(c42,X1),X2))
| ~ p4(f5(X3,f18(f20(f22(f24(c45,X1),X2),X0),X3)),f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X0),X3)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X1),X2),X0),X3)),f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X0),X3))) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_172,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X2,X3)
| ~ p34(c36,X1)
| ~ p4(f5(X3,f18(f20(f22(f24(c45,X1),X0),X2),X3)),f5(f7(X0,X3),f18(f20(f22(f24(c45,X1),X0),X2),X3)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X1),X0),X2),X3)),f5(f7(X0,X2),f18(f20(f22(f24(c45,X1),X0),X2),X3)))
| ~ p4(f5(f7(X0,f26(f28(c43,X1),X0)),f30(f32(c42,X1),X0)),f5(f7(X0,f26(f28(c44,X1),X0)),f30(f32(c42,X1),X0))) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(c38,c40)
| p4(f5(f26(f28(c43,X0),X1),X2),f5(f26(f28(c44,X0),X1),X2))
| ~ p34(c36,X0)
| ~ p35(f10(X0,X2),f30(f32(c42,X0),X1))
| ~ p4(f5(c40,f18(f20(f22(f24(c45,X0),X1),c38),c40)),f5(f7(X1,c40),f18(f20(f22(f24(c45,X0),X1),c38),c40)))
| ~ p4(f5(c38,f18(f20(f22(f24(c45,X0),X1),c38),c40)),f5(f7(X1,c38),f18(f20(f22(f24(c45,X0),X1),c38),c40))) ),
inference(instantiation,[status(thm)],[c_171]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i] :
( p2(c38,c40)
| ~ p34(c36,X1)
| ~ p4(f5(c40,f18(f20(f22(f24(c45,X1),X0),c38),c40)),f5(f7(X0,c40),f18(f20(f22(f24(c45,X1),X0),c38),c40)))
| ~ p4(f5(c38,f18(f20(f22(f24(c45,X1),X0),c38),c40)),f5(f7(X0,c38),f18(f20(f22(f24(c45,X1),X0),c38),c40)))
| ~ p4(f5(f7(X0,f26(f28(c43,X1),X0)),f30(f32(c42,X1),X0)),f5(f7(X0,f26(f28(c44,X1),X0)),f30(f32(c42,X1),X0))) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i] :
( p2(c38,c40)
| p4(f5(f26(f28(c43,c37),X0),X1),f5(f26(f28(c44,c37),X0),X1))
| ~ p34(c36,c37)
| ~ p35(f10(c37,X1),f30(f32(c42,c37),X0))
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),X0),c38),c40)),f5(f7(X0,c40),f18(f20(f22(f24(c45,c37),X0),c38),c40)))
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),X0),c38),c40)),f5(f7(X0,c38),f18(f20(f22(f24(c45,c37),X0),c38),c40))) ),
inference(instantiation,[status(thm)],[c_515]) ).
tcf(c_540,plain,
! [X0: $i] :
( p2(c38,c40)
| ~ p34(c36,c37)
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),X0),c38),c40)),f5(f7(X0,c40),f18(f20(f22(f24(c45,c37),X0),c38),c40)))
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),X0),c38),c40)),f5(f7(X0,c38),f18(f20(f22(f24(c45,c37),X0),c38),c40)))
| ~ p4(f5(f7(X0,f26(f28(c43,c37),X0)),f30(f32(c42,c37),X0)),f5(f7(X0,f26(f28(c44,c37),X0)),f30(f32(c42,c37),X0))) ),
inference(instantiation,[status(thm)],[c_517]) ).
tcf(c_561,plain,
( p2(c38,c40)
| ~ p34(c36,c37)
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_562,plain,
p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_585,plain,
p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_671,plain,
( p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
| p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_672,plain,
( p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| ~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_824,plain,
( p2(c38,c40)
| p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
| ~ p34(c36,c37)
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)) ),
inference(instantiation,[status(thm)],[c_538]) ).
tcf(c_825,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_824,c_672,c_671,c_585,c_562,c_561,c_130,c_129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n003.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Fri Sep 25 02:07:24 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 3.75/1.32 % SZS status Started for theBenchmark.p
% 3.75/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.32
% 3.75/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.75/1.32
% 3.75/1.32 % ------ iProver source info
% 3.75/1.32
% 3.75/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.75/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.75/1.32 % git: non_committed_changes: false
% 3.75/1.32
% 3.75/1.32 % ------ Parsing...% successful
% 3.75/1.32
% 3.75/1.32
% 3.75/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.75/1.32
% 3.75/1.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.75/1.32
% 3.75/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.75/1.32 % ------ Proving...
% 3.75/1.32 % ------ Problem Properties
% 3.75/1.32
% 3.75/1.32 %
% 3.75/1.32 % clauses 62
% 3.75/1.32 % conjectures 62
% 3.75/1.32 % EPR 40
% 3.75/1.32 % Horn 59
% 3.75/1.32 % unary 22
% 3.75/1.32 % binary 2
% 3.75/1.32 % lits 148
% 3.75/1.32 % lits eq 0
% 3.75/1.32 % fd_pure 0
% 3.75/1.32 % fd_pseudo 0
% 3.75/1.32 % fd_cond 0
% 3.75/1.32 % fd_pseudo_cond 0
% 3.75/1.32 % AC symbols 0
% 3.75/1.32
% 3.75/1.32 % ------ Schedule dynamic 5 is on
% 3.75/1.32
% 3.75/1.32 % ------ no equalities: superposition off
% 3.75/1.32
% 3.75/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.75/1.32
% 3.75/1.32
% 3.75/1.32 % ------
% 3.75/1.32 % Current options:
% 3.75/1.32 % ------
% 3.75/1.32
% 3.75/1.32
% 3.75/1.32 %
% 3.75/1.32
% 3.75/1.32 % ------ Proving...
% 3.75/1.32 %
% 3.75/1.32
% 3.75/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.32
% 3.75/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/1.32
% 3.75/1.32
%------------------------------------------------------------------------------