%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN708-1 : 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 : n002.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 03:41:26 PM UTC 2026
% Result : Unsatisfiable 3.00s 1.74s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 120 ( 61 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p38(c56),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56_is_p38_1) ).
fof(f3,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_3) ).
fof(f4,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_4) ).
fof(f13,negated_conjecture,
p37(f15(c56),c48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_13) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ p38(X0)
| p38(f15(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_15) ).
fof(f20,negated_conjecture,
! [X0,X1] :
( ~ p9(X0,X1)
| p10(f11(X0),f11(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_20) ).
fof(f32,negated_conjecture,
! [X0,X1] :
( ~ p10(X0,X1)
| p16(f19(X0),f19(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).
fof(f36,negated_conjecture,
! [X0] :
( ~ p38(X0)
| p16(f19(f15(X0)),f28(f19(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_36) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X3,X0)
| ~ p37(X3,X2)
| ~ p10(X2,X1)
| p37(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_51) ).
fof(f52,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(X3,X0)
| ~ p39(X3,X2)
| ~ p16(X2,X1)
| p39(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_52) ).
fof(f54,negated_conjecture,
! [X0,X1] :
( ~ p37(X0,X1)
| ~ p38(X0)
| ~ p38(X1)
| p39(f19(X0),f19(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_54) ).
fof(f64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11_is_p38_64) ).
fof(f66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_66) ).
fof(f69,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p39_69) ).
tcf(c_132,negated_conjecture,
p38(c56),
inference(cnf_transformation,[],[f1]) ).
tcf(c_134,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_135,negated_conjecture,
! [X0: $i] : p9(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_144,negated_conjecture,
p37(f15(c56),c48),
inference(cnf_transformation,[],[f13]) ).
tcf(c_146,negated_conjecture,
! [X0: $i] :
( p38(f15(X0))
| ~ p38(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_151,negated_conjecture,
! [X0: $i,X1: $i] :
( p10(f11(X0),f11(X1))
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_163,negated_conjecture,
! [X0: $i,X1: $i] :
( p16(f19(X0),f19(X1))
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_167,negated_conjecture,
! [X0: $i] :
( p16(f19(f15(X0)),f28(f19(X0)))
| ~ p38(X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_182,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p37(X1,X3)
| ~ p37(X0,X2)
| ~ p10(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_183,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p39(X1,X3)
| ~ p39(X0,X2)
| ~ p16(X2,X3)
| ~ p16(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_185,negated_conjecture,
! [X0: $i,X1: $i] :
( p39(f19(X0),f19(X1))
| ~ p38(X1)
| ~ p38(X0)
| ~ p37(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_195,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(cnf_transformation,[],[f64]) ).
tcf(c_197,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(cnf_transformation,[],[f66]) ).
tcf(c_200,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(cnf_transformation,[],[f69]) ).
tcf(c_814,plain,
( p38(f15(c56))
| ~ p38(c56) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_817,plain,
( p16(f19(f15(c56)),f28(f19(c56)))
| ~ p38(c56) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_838,plain,
! [X0: $i,X1: $i] :
( p37(X0,X1)
| ~ p10(c48,X1)
| ~ p37(f15(c56),c48)
| ~ p10(f15(c56),X0) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_852,plain,
! [X0: $i] :
( p39(f19(f15(c56)),f19(X0))
| ~ p38(X0)
| ~ p38(f15(c56))
| ~ p37(f15(c56),X0) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_881,plain,
! [X0: $i] :
( p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),f11(X0))
| ~ p9(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))),X0) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_934,plain,
! [X0: $i] :
( p37(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p37(f15(c56),c48)
| ~ p10(f15(c56),X0)
| ~ p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(instantiation,[status(thm)],[c_838]) ).
tcf(c_1063,plain,
( p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p9(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))),f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))) ),
inference(instantiation,[status(thm)],[c_881]) ).
tcf(c_1064,plain,
p9(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))),f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_1095,plain,
( p39(f19(f15(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p38(f15(c56))
| ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_1744,plain,
( p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p37(f15(c56),c48)
| ~ p10(f15(c56),f15(c56))
| ~ p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(instantiation,[status(thm)],[c_934]) ).
tcf(c_1745,plain,
p10(f15(c56),f15(c56)),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_3041,plain,
! [X0: $i,X1: $i] :
( p39(X1,X0)
| ~ p16(f19(f15(c56)),X1)
| ~ p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),X0)
| ~ p39(f19(f15(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_4716,plain,
! [X0: $i] :
( p39(f28(f19(c56)),X0)
| ~ p16(f19(f15(c56)),f28(f19(c56)))
| ~ p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),X0)
| ~ p39(f19(f15(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(instantiation,[status(thm)],[c_3041]) ).
tcf(c_6323,plain,
! [X0: $i] :
( p39(f28(f19(c56)),f19(X0))
| ~ p16(f19(f15(c56)),f28(f19(c56)))
| ~ p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),f19(X0))
| ~ p39(f19(f15(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(instantiation,[status(thm)],[c_4716]) ).
tcf(c_6324,plain,
! [X0: $i] :
( p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),f19(X0))
| ~ p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),X0) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_7442,plain,
( p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p16(f19(f15(c56)),f28(f19(c56)))
| ~ p39(f19(f15(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(instantiation,[status(thm)],[c_6323]) ).
tcf(c_7878,plain,
( p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(instantiation,[status(thm)],[c_6324]) ).
tcf(c_7879,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7878,c_7442,c_1745,c_1744,c_1095,c_1064,c_1063,c_817,c_814,c_200,c_197,c_195,c_144,c_132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 02:11:19 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 3.00/1.74 % SZS status Started for theBenchmark.p
% 3.00/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 3.00/1.74
% 3.00/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.00/1.74
% 3.00/1.74 % ------ iProver source info
% 3.00/1.74
% 3.00/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 3.00/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.00/1.74 % git: non_committed_changes: false
% 3.00/1.74
% 3.00/1.74 % ------ Parsing...% successful
% 3.00/1.74
% 3.00/1.74
% 3.00/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.00/1.74
% 3.00/1.74 % ------ Preprocessing... sf_s rm: 22 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.00/1.74
% 3.00/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.00/1.74 % ------ Proving...
% 3.00/1.74 % ------ Problem Properties
% 3.00/1.74
% 3.00/1.74 %
% 3.00/1.74 % clauses 61
% 3.00/1.74 % conjectures 61
% 3.00/1.74 % EPR 14
% 3.00/1.74 % Horn 61
% 3.00/1.74 % unary 26
% 3.00/1.74 % binary 17
% 3.00/1.74 % lits 118
% 3.00/1.74 % lits eq 0
% 3.00/1.74 % fd_pure 0
% 3.00/1.74 % fd_pseudo 0
% 3.00/1.74 % fd_cond 0
% 3.00/1.74 % fd_pseudo_cond 0
% 3.00/1.74 % AC symbols 0
% 3.00/1.74
% 3.00/1.74 % ------ Schedule dynamic 5 is on
% 3.00/1.74
% 3.00/1.74 % ------ no equalities: superposition off
% 3.00/1.74
% 3.00/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.00/1.74
% 3.00/1.74
% 3.00/1.74 % ------
% 3.00/1.74 % Current options:
% 3.00/1.74 % ------
% 3.00/1.74
% 3.00/1.74
% 3.00/1.74 %
% 3.00/1.74
% 3.00/1.74 % ------ Proving...
% 3.00/1.74 %
% 3.00/1.74
% 3.00/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 3.00/1.74
% 3.00/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.00/1.74
% 3.00/1.74
%------------------------------------------------------------------------------