%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL096-1 : 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 : n013.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 02:05:38 PM UTC 2026
% Result : Unsatisfiable 2.87s 11.11s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 22 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 9 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 32 :)
% 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(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_4) ).
fof(f5,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_1) ).
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_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_83,plain,
! [X0: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))) ),
inference(resolution,[status(thm)],[c_54,c_58]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))) ),
inference(resolution,[status(thm)],[c_83,c_54]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i] :
( ~ is_a_theorem(equivalent(equivalent(X0,c),X1))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,equivalent(equivalent(b,b),a))),X1),c)) ),
inference(resolution,[status(thm)],[c_87,c_57]) ).
tcf(c_196,plain,
! [X0: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,a),equivalent(X0,equivalent(equivalent(b,b),a))),c),c)),
inference(resolution,[status(thm)],[c_190,c_55]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,a),equivalent(X1,equivalent(equivalent(b,b),a))),c),c))) ),
inference(resolution,[status(thm)],[c_196,c_54]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,a),equivalent(X2,equivalent(equivalent(b,b),a))),c),c)))) ),
inference(resolution,[status(thm)],[c_209,c_54]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_a_theorem(equivalent(equivalent(X0,c),X2))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,a),equivalent(X1,equivalent(equivalent(b,b),a)))),X2),c)) ),
inference(resolution,[status(thm)],[c_386,c_57]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,a)),equivalent(X1,equivalent(equivalent(b,b),a))),c),c)),
inference(resolution,[status(thm)],[c_425,c_56]) ).
tcf(c_601,plain,
$false,
inference(resolution,[status(thm)],[c_579,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.39 % Computer : n013.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Wed Sep 23 21:53:48 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/10.43 Running first-order theorem proving
% 0.16/10.43 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
% 0.16/10.45
% 0.16/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.45
% 0.16/10.45 % Detected problem language: tptp
% 0.16/10.46 % Proving...
% 2.87/11.11 % SZS status Started for theBenchmark.p
% 2.87/11.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.87/11.11
% 2.87/11.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.87/11.11
% 2.87/11.11 % ------ iProver source info
% 2.87/11.11
% 2.87/11.11 % git: date: 2026-07-19 20:42:38 +0200
% 2.87/11.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.87/11.11 % git: non_committed_changes: false
% 2.87/11.11
% 2.87/11.11 % ------ Parsing...% successful
% 2.87/11.11
% 2.87/11.11
% 2.87/11.11 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.87/11.11
% 2.87/11.11 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.87/11.11
% 2.87/11.11 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.87/11.11 % ------ Proving...
% 2.87/11.11 % ------ Problem Properties
% 2.87/11.11
% 2.87/11.11 %
% 2.87/11.11 % clauses 5
% 2.87/11.11 % conjectures 1
% 2.87/11.11 % EPR 0
% 2.87/11.11 % Horn 5
% 2.87/11.11 % unary 4
% 2.87/11.11 % binary 0
% 2.87/11.11 % lits 7
% 2.87/11.11 % lits eq 0
% 2.87/11.11 % fd_pure 0
% 2.87/11.11 % fd_pseudo 0
% 2.87/11.11 % fd_cond 0
% 2.87/11.11 % fd_pseudo_cond 0
% 2.87/11.11 % AC symbols 0
% 2.87/11.11
% 2.87/11.11 % ------ Input Options Time Limit: Unbounded
% 2.87/11.11
% 2.87/11.11
% 2.87/11.11 % ------
% 2.87/11.11 % Current options:
% 2.87/11.11 % ------
% 2.87/11.11
% 2.87/11.11
% 2.87/11.11 %
% 2.87/11.11
% 2.87/11.11 % ------ Proving...
% 2.87/11.11 %
% 2.87/11.11
% 2.87/11.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.87/11.11
% 2.87/11.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.87/11.11
% 2.87/11.11
%------------------------------------------------------------------------------