%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 02:05:39 PM UTC 2026
% Result : Unsatisfiable 3.77s 1.32s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 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 : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).
tcf(c_53,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2))) ),
inference(superposition,[status(thm)],[c_54,c_56]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_55,c_122]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_156,c_56]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_177,c_56]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),X3)) ),
inference(superposition,[status(thm)],[c_155,c_122]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)))) ),
inference(superposition,[status(thm)],[c_54,c_225]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),X3),X3)),
inference(superposition,[status(thm)],[c_55,c_300]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_177,c_270]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))),
inference(superposition,[status(thm)],[c_424,c_270]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(superposition,[status(thm)],[c_639,c_300]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3)))) ),
inference(superposition,[status(thm)],[c_691,c_225]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))),
inference(superposition,[status(thm)],[c_55,c_747]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(superposition,[status(thm)],[c_1513,c_638]) ).
tcf(c_1852,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_1850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 % Computer : n020.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Wed Sep 23 21:56:35 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.45 % Detected problem language: tptp
% 0.11/0.46 % Proving...
% 3.77/1.32 % SZS status Started for theBenchmark.p
% 3.77/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.32
% 3.77/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.77/1.32
% 3.77/1.32 % ------ iProver source info
% 3.77/1.32
% 3.77/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.77/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.77/1.32 % git: non_committed_changes: false
% 3.77/1.32
% 3.77/1.32 % ------ Parsing...% successful
% 3.77/1.32
% 3.77/1.32
% 3.77/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.77/1.32
% 3.77/1.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.77/1.32
% 3.77/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.77/1.32 % ------ Proving...
% 3.77/1.32 % ------ Problem Properties
% 3.77/1.32
% 3.77/1.32 %
% 3.77/1.32 % clauses 4
% 3.77/1.32 % conjectures 1
% 3.77/1.32 % EPR 0
% 3.77/1.32 % Horn 4
% 3.77/1.32 % unary 3
% 3.77/1.32 % binary 0
% 3.77/1.32 % lits 6
% 3.77/1.32 % lits eq 0
% 3.77/1.32 % fd_pure 0
% 3.77/1.32 % fd_pseudo 0
% 3.77/1.32 % fd_cond 0
% 3.77/1.32 % fd_pseudo_cond 0
% 3.77/1.32 % AC symbols 0
% 3.77/1.32
% 3.77/1.32 % ------ Schedule dynamic 5 is on
% 3.77/1.32
% 3.77/1.32 % ------ no equalities: superposition off
% 3.77/1.32
% 3.77/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.77/1.32
% 3.77/1.32
% 3.77/1.32 % ------
% 3.77/1.32 % Current options:
% 3.77/1.32 % ------
% 3.77/1.32
% 3.77/1.32
% 3.77/1.32 %
% 3.77/1.32
% 3.77/1.32 % ------ Proving...
% 3.77/1.32 %
% 3.77/1.32
% 3.77/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.32
% 3.77/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.32
% 3.77/1.32
%------------------------------------------------------------------------------