%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 4.11s 1.27s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 8 ( 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 : 76 ( 0 sgn 76 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))),equivalent(X2,equivalent(equivalent(X1,X0),X6)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))),equivalent(X2,equivalent(equivalent(X1,X0),X6)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,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_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X6)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6)))) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X1),equivalent(X2,X0)),X3)),equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X4),equivalent(X6,X5))),X3))),
inference(superposition,[status(thm)],[c_53,c_104]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X4,X6))),equivalent(X3,equivalent(X5,X6))),X7)),equivalent(equivalent(X1,X2),X7))),
inference(superposition,[status(thm)],[c_128,c_104]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),X7))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X4,X6))),equivalent(X3,equivalent(X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_159,c_54]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7)),equivalent(equivalent(X5,X6),X7))),
inference(superposition,[status(thm)],[c_53,c_201]) ).
tcf(c_338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( is_a_theorem(equivalent(equivalent(X5,X6),X7))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7))) ),
inference(superposition,[status(thm)],[c_242,c_54]) ).
tcf(c_398,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_53,c_338]) ).
tcf(c_445,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_398,c_54]) ).
tcf(c_522,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_398,c_445]) ).
tcf(c_523,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 21:58:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 4.11/1.27 % SZS status Started for theBenchmark.p
% 4.11/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.27
% 4.11/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.11/1.27
% 4.11/1.27 % ------ iProver source info
% 4.11/1.27
% 4.11/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.11/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.11/1.27 % git: non_committed_changes: false
% 4.11/1.27
% 4.11/1.27 % ------ Parsing...% successful
% 4.11/1.27
% 4.11/1.27
% 4.11/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.11/1.27
% 4.11/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.11/1.27
% 4.11/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.11/1.27 % ------ Proving...
% 4.11/1.27 % ------ Problem Properties
% 4.11/1.27
% 4.11/1.27 %
% 4.11/1.27 % clauses 3
% 4.11/1.27 % conjectures 1
% 4.11/1.27 % EPR 0
% 4.11/1.27 % Horn 3
% 4.11/1.27 % unary 2
% 4.11/1.27 % binary 0
% 4.11/1.27 % lits 5
% 4.11/1.27 % lits eq 0
% 4.11/1.27 % fd_pure 0
% 4.11/1.27 % fd_pseudo 0
% 4.11/1.27 % fd_cond 0
% 4.11/1.27 % fd_pseudo_cond 0
% 4.11/1.27 % AC symbols 0
% 4.11/1.27
% 4.11/1.27 % ------ Schedule dynamic 5 is on
% 4.11/1.27
% 4.11/1.27 % ------ no equalities: superposition off
% 4.11/1.27
% 4.11/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.11/1.27
% 4.11/1.27
% 4.11/1.27 % ------
% 4.11/1.27 % Current options:
% 4.11/1.27 % ------
% 4.11/1.27
% 4.11/1.27
% 4.11/1.27 %
% 4.11/1.27
% 4.11/1.27 % ------ Proving...
% 4.11/1.27 %
% 4.11/1.27
% 4.11/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.27
% 4.11/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.27
% 4.11/1.27
%------------------------------------------------------------------------------