%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL108-1 : 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 : n003.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 0.77s 1.21s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 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 : 127 ( 0 sgn 127 !; 0 ?; 118 :)
% 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),equivalent(equivalent(b,a),c)),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_3) ).
tcf(c_52,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_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,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,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_52]) ).
tcf(c_65,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_59]) ).
tcf(c_68,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_65,c_59]) ).
tcf(c_79,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_68,c_52]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $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(equivalent(X8,X5),equivalent(X8,X6)),X7))),
inference(superposition,[status(thm)],[c_68,c_59]) ).
tcf(c_92,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_79]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X4)))),equivalent(X0,equivalent(X3,X4))),X5),X5)),
inference(superposition,[status(thm)],[c_68,c_79]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X3))),equivalent(X1,X3)),X4),X4)),
inference(superposition,[status(thm)],[c_80,c_79]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(X5)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X4)))),equivalent(X0,equivalent(X3,X4))),X5)) ),
inference(superposition,[status(thm)],[c_93,c_52]) ).
tcf(c_116,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_92,c_52]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $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(equivalent(X7,X6),equivalent(X7,X5)))),X3))),
inference(superposition,[status(thm)],[c_100,c_59]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X3,equivalent(X4,X0)),equivalent(X3,equivalent(X4,equivalent(X1,X5))))),equivalent(X2,X5))),
inference(superposition,[status(thm)],[c_93,c_108]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X4),equivalent(X6,X7)))),equivalent(X3,equivalent(X5,X7))),X8)),equivalent(equivalent(X1,X2),X8))),
inference(superposition,[status(thm)],[c_129,c_59]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(equivalent(X2,X5))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X3,equivalent(X4,X0)),equivalent(X3,equivalent(X4,equivalent(X1,X5)))))) ),
inference(superposition,[status(thm)],[c_160,c_52]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(equivalent(X4,X3),equivalent(X4,X1))),X2))),
inference(superposition,[status(thm)],[c_214,c_116]) ).
tcf(c_2689,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
inference(superposition,[status(thm)],[c_467,c_296]) ).
tcf(c_2692,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_2689]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 21:57:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 0.77/1.21 % SZS status Started for theBenchmark.p
% 0.77/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.77/1.21
% 0.77/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.77/1.21
% 0.77/1.21 % ------ iProver source info
% 0.77/1.21
% 0.77/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.77/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.77/1.21 % git: non_committed_changes: false
% 0.77/1.21
% 0.77/1.21 % ------ Parsing...% successful
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.77/1.21 % ------ Proving...
% 0.77/1.21 % ------ Problem Properties
% 0.77/1.21
% 0.77/1.21 %
% 0.77/1.21 % clauses 3
% 0.77/1.21 % conjectures 1
% 0.77/1.21 % EPR 0
% 0.77/1.21 % Horn 3
% 0.77/1.21 % unary 2
% 0.77/1.21 % binary 0
% 0.77/1.21 % lits 5
% 0.77/1.21 % lits eq 0
% 0.77/1.21 % fd_pure 0
% 0.77/1.21 % fd_pseudo 0
% 0.77/1.21 % fd_cond 0
% 0.77/1.21 % fd_pseudo_cond 0
% 0.77/1.21 % AC symbols 0
% 0.77/1.21
% 0.77/1.21 % ------ Input Options Time Limit: Unbounded
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21 % ------
% 0.77/1.21 % Current options:
% 0.77/1.21 % ------
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21 %
% 0.77/1.21
% 0.77/1.21 % ------ Proving...
% 0.77/1.21 %
% 0.77/1.21
% 0.77/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.77/1.21
% 0.77/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.77/1.21
% 0.77/1.21
%------------------------------------------------------------------------------