%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN687-1 : 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 : n006.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 03:41:23 PM UTC 2026
% Result : Unsatisfiable 3.12s 11.50s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 32 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).
fof(f40,negated_conjecture,
! [X0] : ~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_40) ).
fof(f55,negated_conjecture,
! [X2,X0,X1] :
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_55) ).
fof(f56,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(f5(X0,f14(f16(f18(c40,X0),X2),X1)),f5(X2,f14(f16(f18(c40,X0),X2),X1)))
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_56) ).
fof(f57,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p35(f12(X0,X2),f30(f32(c45,X0),X1))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X3),f5(f9(X1,f26(f28(c46,X0),X1)),X3))
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f26(f28(c47,X0),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
fof(f58,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(f5(f9(X1,f26(f28(c46,X0),X1)),f30(f32(c45,X0),X1)),f5(f9(X1,f26(f28(c47,X0),X1)),f30(f32(c45,X0),X1)))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
tcf(c_127,negated_conjecture,
p34(c36,c37),
inference(cnf_transformation,[],[f19]) ).
tcf(c_148,negated_conjecture,
! [X0: $i] : ~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))),
inference(cnf_transformation,[],[f40]) ).
tcf(c_163,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_164,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(f5(f9(c39,X0),X2),f5(f9(c39,X1),X2))
| ~ p4(f5(X0,f14(f16(f18(c40,X0),X1),X2)),f5(X1,f14(f16(f18(c40,X0),X1),X2))) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_165,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(f26(f28(c46,X0),X2),X1),f5(f26(f28(c47,X0),X2),X1))
| p4(f5(f26(f28(c46,X0),X2),X3),f5(f9(X2,f26(f28(c46,X0),X2)),X3))
| ~ p34(c36,X0)
| ~ p35(f12(X0,X1),f30(f32(c45,X0),X2)) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_166,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(f5(f26(f28(c46,X1),X0),X2),f5(f9(X0,f26(f28(c46,X1),X0)),X2))
| ~ p34(c36,X1)
| ~ p4(f5(f9(X0,f26(f28(c46,X1),X0)),f30(f32(c45,X1),X0)),f5(f9(X0,f26(f28(c47,X1),X0)),f30(f32(c45,X1),X0))) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_500,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(f5(f26(f28(c46,X1),X0),X2),f5(f9(X0,f26(f28(c46,X1),X0)),X2))
| ~ p34(c36,X1)
| ~ p4(f5(f9(X0,f26(f28(c46,X1),X0)),f30(f32(c45,X1),X0)),f5(f9(X0,f26(f28(c47,X1),X0)),f30(f32(c45,X1),X0))) ),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_501,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(f26(f28(c46,X0),X2),X1),f5(f26(f28(c47,X0),X2),X1))
| p4(f5(f26(f28(c46,X0),X2),X3),f5(f9(X2,f26(f28(c46,X0),X2)),X3))
| ~ p34(c36,X0)
| ~ p35(f12(X0,X1),f30(f32(c45,X0),X2)) ),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_502,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(f5(f9(c39,X0),X2),f5(f9(c39,X1),X2))
| ~ p4(f5(X0,f14(f16(f18(c40,X0),X1),X2)),f5(X1,f14(f16(f18(c40,X0),X1),X2))) ),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_503,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_518,negated_conjecture,
! [X0: $i] : ~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))),
inference(demodulation,[status(thm)],[c_148]) ).
tcf(c_570,plain,
! [X0: $i,X1: $i] :
( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
| ~ p34(c36,c37)
| ~ p4(f5(f9(X0,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(X0,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0))) ),
inference(instantiation,[status(thm)],[c_500]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i,X2: $i] :
( p4(f5(f26(f28(c46,c37),X1),X0),f5(f26(f28(c47,c37),X1),X0))
| p4(f5(f26(f28(c46,c37),X1),X2),f5(f9(X1,f26(f28(c46,c37),X1)),X2))
| ~ p34(c36,c37)
| ~ p35(f12(c37,X0),f30(f32(c45,c37),X1)) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_607,plain,
! [X0: $i] :
( p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))
| ~ p34(c36,c37)
| ~ p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(instantiation,[status(thm)],[c_570]) ).
tcf(c_608,plain,
( p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39))
| p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(instantiation,[status(thm)],[c_503]) ).
tcf(c_617,plain,
( p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39))))
| ~ p34(c36,c37)
| ~ p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(instantiation,[status(thm)],[c_607]) ).
tcf(c_618,plain,
~ p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39)))),
inference(instantiation,[status(thm)],[c_518]) ).
tcf(c_654,plain,
( p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))
| ~ p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_657,plain,
! [X0: $i] :
( p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))
| p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))))
| ~ p34(c36,c37)
| ~ p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_950,plain,
( p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39))))
| p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))))
| ~ p34(c36,c37)
| ~ p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)) ),
inference(instantiation,[status(thm)],[c_657]) ).
tcf(c_951,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_950,c_654,c_618,c_617,c_608,c_127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.59 % Computer : n006.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Fri Sep 25 02:05:08 UTC 2026
% 0.11/10.59 % CPUTime :
% 0.11/10.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.63 Running first-order theorem proving
% 0.15/10.63 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
% 0.15/10.64
% 0.15/10.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.64
% 0.15/10.64 % Detected problem language: tptp
% 0.15/10.65 % Proving...
% 3.12/11.50 % SZS status Started for theBenchmark.p
% 3.12/11.50 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/11.50
% 3.12/11.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.12/11.50
% 3.12/11.50 % ------ iProver source info
% 3.12/11.50
% 3.12/11.50 % git: date: 2026-07-19 20:42:38 +0200
% 3.12/11.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.12/11.50 % git: non_committed_changes: false
% 3.12/11.50
% 3.12/11.50 % ------ Parsing...% successful
% 3.12/11.50
% 3.12/11.50
% 3.12/11.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.12/11.50
% 3.12/11.50 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.12/11.50
% 3.12/11.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.12/11.50 % ------ Proving...
% 3.12/11.50 % ------ Problem Properties
% 3.12/11.50
% 3.12/11.50 %
% 3.12/11.50 % clauses 60
% 3.12/11.50 % conjectures 60
% 3.12/11.50 % EPR 39
% 3.12/11.50 % Horn 57
% 3.12/11.50 % unary 20
% 3.12/11.50 % binary 2
% 3.12/11.50 % lits 146
% 3.12/11.50 % lits eq 0
% 3.12/11.50 % fd_pure 0
% 3.12/11.50 % fd_pseudo 0
% 3.12/11.50 % fd_cond 0
% 3.12/11.50 % fd_pseudo_cond 0
% 3.12/11.50 % AC symbols 0
% 3.12/11.50
% 3.12/11.50 % ------ Schedule dynamic 5 is on
% 3.12/11.50
% 3.12/11.50 % ------ no equalities: superposition off
% 3.12/11.50
% 3.12/11.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.12/11.50
% 3.12/11.50
% 3.12/11.50 % ------
% 3.12/11.50 % Current options:
% 3.12/11.50 % ------
% 3.12/11.50
% 3.12/11.50
% 3.12/11.50 %
% 3.12/11.50
% 3.12/11.50 % ------ Proving...
% 3.12/11.50 %
% 3.12/11.50
% 3.12/11.50 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/11.50
% 3.12/11.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/11.50
% 3.12/11.50
%------------------------------------------------------------------------------