%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN620-1 : 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 : n020.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 03:41:14 PM UTC 2026
% Result : Unsatisfiable 4.39s 1.33s
% Output : CNFRefutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 31 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_5) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ p10(X0,X1)
| p11(f12(X0),f12(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_23) ).
fof(f24,negated_conjecture,
! [X0] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_24) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X3,X0)
| ~ p20(X3,X2)
| ~ p11(X2,X1)
| p20(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_28) ).
fof(f32,negated_conjecture,
! [X0] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_32) ).
fof(f33,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_33) ).
tcf(c_87,negated_conjecture,
! [X0: $i] : p11(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i] :
( p11(f12(X0),f12(X1))
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X1,X2)
| ~ p11(X0,X2)
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
inference(cnf_transformation,[],[f24]) ).
tcf(c_110,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p20(X3,X1)
| ~ p20(X2,X0)
| ~ p11(X2,X3)
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_114,negated_conjecture,
! [X0: $i] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))),
inference(cnf_transformation,[],[f32]) ).
tcf(c_115,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(cnf_transformation,[],[f33]) ).
tcf(c_388,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(subtyping,[status(esa)],[c_115]) ).
tcf(c_389,negated_conjecture,
! [X0_iProver_p10_2: iProver_p10_2] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0_iProver_p10_2))),
inference(subtyping,[status(esa)],[c_114]) ).
tcf(c_393,negated_conjecture,
! [X0_iProver_p20_2: iProver_p20_2,X1_iProver_p20_2: iProver_p20_2,X2_iProver_p20_2: iProver_p20_2,X3_iProver_p20_2: iProver_p20_2] :
( p20(X1_iProver_p20_2,X3_iProver_p20_2)
| ~ p20(X0_iProver_p20_2,X2_iProver_p20_2)
| ~ p11(X2_iProver_p20_2,X3_iProver_p20_2)
| ~ p11(X0_iProver_p20_2,X1_iProver_p20_2) ),
inference(subtyping,[status(esa)],[c_110]) ).
tcf(c_395,negated_conjecture,
! [X0_iProver_p10_2: iProver_p10_2] : p10(f13(f6(c22),X0_iProver_p10_2),f13(f6(c24),f16(c26,X0_iProver_p10_2))),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_396,negated_conjecture,
! [X0_iProver_p20_2: iProver_p20_2,X1_iProver_p20_2: iProver_p20_2,X2_iProver_p20_2: iProver_p20_2] :
( p11(X1_iProver_p20_2,X2_iProver_p20_2)
| ~ p11(X0_iProver_p20_2,X2_iProver_p20_2)
| ~ p11(X0_iProver_p20_2,X1_iProver_p20_2) ),
inference(subtyping,[status(esa)],[c_105]) ).
tcf(c_401,negated_conjecture,
! [X0_iProver_p10_2: iProver_p10_2,X1_iProver_p10_2: iProver_p10_2] :
( p11(f12(X0_iProver_p10_2),f12(X1_iProver_p10_2))
| ~ p10(X0_iProver_p10_2,X1_iProver_p10_2) ),
inference(subtyping,[status(esa)],[c_100]) ).
tcf(c_410,negated_conjecture,
! [X0_iProver_p20_2: iProver_p20_2] : p11(X0_iProver_p20_2,X0_iProver_p20_2),
inference(subtyping,[status(esa)],[c_87]) ).
tcf(c_570,plain,
! [X0_iProver_p20_2: iProver_p20_2,X1_iProver_p20_2: iProver_p20_2] :
( ~ p20(X0_iProver_p20_2,X1_iProver_p20_2)
| ~ p11(X1_iProver_p20_2,f12(f13(f6(c22),c27)))
| ~ p11(X0_iProver_p20_2,f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(resolution,[status(thm)],[c_393,c_388]) ).
tcf(c_653,plain,
p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))),
inference(instantiation,[status(thm)],[c_410]) ).
tcf(c_729,plain,
! [X0_iProver_p10_2: iProver_p10_2] :
( ~ p11(f12(f13(f6(c24),X0_iProver_p10_2)),f12(f13(f6(c22),c27)))
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(resolution,[status(thm)],[c_570,c_389]) ).
tcf(c_731,plain,
! [X0_iProver_p10_2: iProver_p10_2] : ~ p11(f12(f13(f6(c24),X0_iProver_p10_2)),f12(f13(f6(c22),c27))),
inference(global_subsumption_just,[status(thm)],[c_729,c_653,c_729]) ).
tcf(c_738,plain,
! [X0_iProver_p20_2: iProver_p20_2,X0_iProver_p10_2: iProver_p10_2] :
( ~ p11(X0_iProver_p20_2,f12(f13(f6(c22),c27)))
| ~ p11(X0_iProver_p20_2,f12(f13(f6(c24),X0_iProver_p10_2))) ),
inference(resolution,[status(thm)],[c_731,c_396]) ).
tcf(c_768,plain,
! [X0_iProver_p10_2: iProver_p10_2] : ~ p11(f12(f13(f6(c22),c27)),f12(f13(f6(c24),X0_iProver_p10_2))),
inference(resolution,[status(thm)],[c_738,c_410]) ).
tcf(c_795,plain,
! [X0_iProver_p10_2: iProver_p10_2] : ~ p10(f13(f6(c22),c27),f13(f6(c24),X0_iProver_p10_2)),
inference(resolution,[status(thm)],[c_768,c_401]) ).
tcf(c_816,plain,
$false,
inference(resolution,[status(thm)],[c_795,c_395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Fri Sep 25 01:55:34 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.45
% 0.12/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.45
% 0.12/0.45 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 4.39/1.33 % SZS status Started for theBenchmark.p
% 4.39/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 4.39/1.33
% 4.39/1.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.39/1.33
% 4.39/1.33 % ------ iProver source info
% 4.39/1.33
% 4.39/1.33 % git: date: 2026-07-19 20:42:38 +0200
% 4.39/1.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.39/1.33 % git: non_committed_changes: false
% 4.39/1.33
% 4.39/1.33 % ------ Parsing...% successful
% 4.39/1.33
% 4.39/1.33
% 4.39/1.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.39/1.33
% 4.39/1.33 % ------ Preprocessing... sf_s rm: 7 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.39/1.33
% 4.39/1.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.39/1.33 % ------ Proving...
% 4.39/1.33 % ------ Problem Properties
% 4.39/1.33
% 4.39/1.33 %
% 4.39/1.33 % clauses 27
% 4.39/1.33 % conjectures 27
% 4.39/1.33 % EPR 11
% 4.39/1.33 % Horn 27
% 4.39/1.33 % unary 10
% 4.39/1.33 % binary 8
% 4.39/1.33 % lits 54
% 4.39/1.33 % lits eq 0
% 4.39/1.33 % fd_pure 0
% 4.39/1.33 % fd_pseudo 0
% 4.39/1.33 % fd_cond 0
% 4.39/1.33 % fd_pseudo_cond 0
% 4.39/1.33 % AC symbols 0
% 4.39/1.33
% 4.39/1.33 % ------ Input Options Time Limit: Unbounded
% 4.39/1.33
% 4.39/1.33
% 4.39/1.33 % ------
% 4.39/1.33 % Current options:
% 4.39/1.33 % ------
% 4.39/1.33
% 4.39/1.33
% 4.39/1.33 %
% 4.39/1.33
% 4.39/1.33 % ------ Proving...
% 4.39/1.33 %
% 4.39/1.33
% 4.39/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 4.39/1.33
% 4.39/1.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.39/1.33
% 4.39/1.33
%------------------------------------------------------------------------------