%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN597-1 : 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 : n017.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 03:41:11 PM UTC 2026
% Result : Unsatisfiable 2.13s 1.29s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 16 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 164 ( 83 ~; 81 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 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 : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p3(c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f11,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f15(X0),f15(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
fof(f21,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_21) ).
fof(f22,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_22) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X0,X2)
| ~ p12(X1,X3)
| p2(f13(X0,X1),f13(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p12(f14(X0,X1),f14(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p10(X2,X5)
| ~ p9(X1,X4)
| ~ p2(X0,X3)
| p10(f11(X0,X1,X2),f11(X3,X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_28) ).
tcf(c_77,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_78,negated_conjecture,
! [X0: $i] : p9(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_83,negated_conjecture,
p3(c21,c22),
inference(cnf_transformation,[],[f7]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f15(X0),f15(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_97,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_98,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p18(X3,X1)
| ~ p18(X2,X0)
| ~ p2(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f13(X0,X2),f13(X1,X3))
| ~ p12(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p12(f14(X0,X2),f14(X1,X3))
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p10(f11(X4,X2,X0),f11(X5,X3,X1))
| ~ p2(X4,X5)
| ~ p9(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_106,plain,
p2(c20,c20),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_113,plain,
( p3(f4(c20),f4(c20))
| ~ p2(c20,c20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_114,plain,
( p3(f15(c20),f15(c20))
| ~ p2(c20,c20) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] :
( p18(X1,X0)
| ~ p2(c20,X1)
| ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p18(X3,f11(X0,X1,X2))
| ~ p2(c20,X3)
| ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(X0,X1,X2)) ),
inference(instantiation,[status(thm)],[c_337]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i,X2: $i] :
( p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(X0,X2,X1))
| ~ p9(c23,X2)
| ~ p10(c24,X1)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),X0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] :
( p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(X0,X1,c24))
| ~ p10(c24,c24)
| ~ p9(c23,X1)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),X0) ),
inference(instantiation,[status(thm)],[c_344]) ).
tcf(c_356,plain,
p10(c24,c24),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i,X2: $i] :
( p18(X2,f11(X0,X1,c24))
| ~ p2(c20,X2)
| ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(X0,X1,c24)) ),
inference(instantiation,[status(thm)],[c_343]) ).
tcf(c_391,plain,
! [X0: $i] :
( p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(X0,c23,c24))
| ~ p9(c23,c23)
| ~ p10(c24,c24)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),X0) ),
inference(instantiation,[status(thm)],[c_355]) ).
tcf(c_392,plain,
p9(c23,c23),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i] :
( p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(X0,X1),c23,c24))
| ~ p9(c23,c23)
| ~ p10(c24,c24)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(X0,X1)) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] :
( p2(f13(f15(c20),f14(f4(c20),c21)),f13(X1,X0))
| ~ p3(f15(c20),X1)
| ~ p12(f14(f4(c20),c21),X0) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i] :
( p18(X2,f11(f13(X0,X1),c23,c24))
| ~ p2(c20,X2)
| ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(X0,X1),c23,c24)) ),
inference(instantiation,[status(thm)],[c_375]) ).
tcf(c_496,plain,
! [X0: $i] :
( p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),X0))
| ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c21),X0) ),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_544,plain,
! [X0: $i] :
( p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),X0),c23,c24))
| ~ p9(c23,c23)
| ~ p10(c24,c24)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),X0)) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_613,plain,
! [X0: $i,X1: $i] :
( p18(X1,f11(f13(f15(c20),X0),c23,c24))
| ~ p2(c20,X1)
| ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),X0),c23,c24)) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i] :
( p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(X0,X1)))
| ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c21),f14(X0,X1)) ),
inference(instantiation,[status(thm)],[c_496]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i] :
( p12(f14(f4(c20),c21),f14(X0,X1))
| ~ p3(c21,X1)
| ~ p3(f4(c20),X0) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_750,plain,
! [X0: $i] :
( p12(f14(f4(c20),c21),f14(X0,c22))
| ~ p3(c21,c22)
| ~ p3(f4(c20),X0) ),
inference(instantiation,[status(thm)],[c_675]) ).
tcf(c_1000,plain,
! [X0: $i] :
( p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(X0,c22)))
| ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c21),f14(X0,c22)) ),
inference(instantiation,[status(thm)],[c_674]) ).
tcf(c_1047,plain,
( p12(f14(f4(c20),c21),f14(f4(c20),c22))
| ~ p3(c21,c22)
| ~ p3(f4(c20),f4(c20)) ),
inference(instantiation,[status(thm)],[c_750]) ).
tcf(c_1156,plain,
( p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22)))
| ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c21),f14(f4(c20),c22)) ),
inference(instantiation,[status(thm)],[c_1000]) ).
tcf(c_1526,plain,
( p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p9(c23,c23)
| ~ p10(c24,c24)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_1952,plain,
! [X0: $i] :
( p18(X0,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p2(c20,X0)
| ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
inference(instantiation,[status(thm)],[c_613]) ).
tcf(c_1954,plain,
( p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p2(c20,c20)
| ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
inference(instantiation,[status(thm)],[c_1952]) ).
tcf(c_1955,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1954,c_1526,c_1156,c_1047,c_392,c_356,c_98,c_97,c_114,c_113,c_106,c_83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:45:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.13/1.29 % SZS status Started for theBenchmark.p
% 2.13/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.13/1.29
% 2.13/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.13/1.29
% 2.13/1.29 % ------ iProver source info
% 2.13/1.29
% 2.13/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.13/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.13/1.29 % git: non_committed_changes: false
% 2.13/1.29
% 2.13/1.29 % ------ Parsing...% successful
% 2.13/1.29
% 2.13/1.29
% 2.13/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.13/1.29
% 2.13/1.29 % ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.13/1.29
% 2.13/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.13/1.29 % ------ Proving...
% 2.13/1.29 % ------ Problem Properties
% 2.13/1.29
% 2.13/1.29 %
% 2.13/1.29 % clauses 23
% 2.13/1.29 % conjectures 23
% 2.13/1.29 % EPR 12
% 2.13/1.29 % Horn 23
% 2.13/1.29 % unary 8
% 2.13/1.29 % binary 6
% 2.13/1.29 % lits 49
% 2.13/1.29 % lits eq 0
% 2.13/1.29 % fd_pure 0
% 2.13/1.29 % fd_pseudo 0
% 2.13/1.29 % fd_cond 0
% 2.13/1.29 % fd_pseudo_cond 0
% 2.13/1.29 % AC symbols 0
% 2.13/1.29
% 2.13/1.29 % ------ Schedule dynamic 5 is on
% 2.13/1.29
% 2.13/1.29 % ------ no equalities: superposition off
% 2.13/1.29
% 2.13/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.13/1.29
% 2.13/1.29
% 2.13/1.29 % ------
% 2.13/1.29 % Current options:
% 2.13/1.29 % ------
% 2.13/1.29
% 2.13/1.29
% 2.13/1.29 %
% 2.13/1.29
% 2.13/1.29 % ------ Proving...
% 2.13/1.29 %
% 2.13/1.29
% 2.13/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.13/1.29
% 2.13/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.13/1.29
% 2.13/1.29
%------------------------------------------------------------------------------