%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL089-1 : 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 : n014.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 02:05:37 PM UTC 2026
% Result : Unsatisfiable 21.80s 3.80s
% Output : CNFRefutation 21.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 59 ( 30 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 209 ( 0 sgn 209 !; 0 ?; 202 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_4) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(superposition,[status(thm)],[c_53,c_349]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_352,c_52]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(superposition,[status(thm)],[c_53,c_353]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_357,c_52]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1)))))),
inference(superposition,[status(thm)],[c_357,c_349]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_53,c_359]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_357,c_359]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_361,c_52]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_364,c_52]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_366,c_52]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))),implies(X4,implies(implies(X2,X0),implies(X3,X0))))),
inference(superposition,[status(thm)],[c_53,c_371]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_53,c_375]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_53,c_379]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(implies(X2,X0),implies(X3,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0)))) ),
inference(superposition,[status(thm)],[c_399,c_52]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_415,c_52]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_433,c_349]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_506,c_52]) ).
tcf(c_548,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_523,c_52]) ).
tcf(c_564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(X5,implies(X1,X3))))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_357,c_526]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(superposition,[status(thm)],[c_415,c_481]) ).
tcf(c_1077,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(superposition,[status(thm)],[c_817,c_548]) ).
tcf(c_1324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_1077,c_564]) ).
tcf(c_7860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1324,c_52]) ).
tcf(c_7863,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_1324,c_7860]) ).
tcf(c_7864,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7863,c_52]) ).
tcf(c_7868,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_7863,c_7864]) ).
tcf(c_7870,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7868,c_52]) ).
tcf(c_7881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_7887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(implies(X1,X3),implies(X0,X3))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_7870,c_7881]) ).
tcf(c_7888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
inference(superposition,[status(thm)],[c_7863,c_7881]) ).
tcf(c_7889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(superposition,[status(thm)],[c_7868,c_7881]) ).
tcf(c_7890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))),
inference(superposition,[status(thm)],[c_1324,c_7881]) ).
tcf(c_7897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X3),implies(X0,X3)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_7887,c_52]) ).
tcf(c_7902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7888,c_52]) ).
tcf(c_7905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3)))),
inference(superposition,[status(thm)],[c_7888,c_7881]) ).
tcf(c_7906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7889,c_52]) ).
tcf(c_7944,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_7890,c_7897]) ).
tcf(c_7966,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(superposition,[status(thm)],[c_7890,c_7902]) ).
tcf(c_7968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X1),X2),X3)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7905,c_52]) ).
tcf(c_7975,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_7966,c_52]) ).
tcf(c_7984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),implies(X0,X3))))),
inference(superposition,[status(thm)],[c_53,c_7975]) ).
tcf(c_8042,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_7966,c_7906]) ).
tcf(c_8200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X0),X1),X2))),
inference(superposition,[status(thm)],[c_7966,c_7968]) ).
tcf(c_8281,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_8042,c_52]) ).
tcf(c_8316,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_7944,c_8281]) ).
tcf(c_9344,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_8042,c_8316]) ).
tcf(c_9559,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9344,c_52]) ).
tcf(c_9718,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_8200,c_9559]) ).
tcf(c_9731,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_9718,c_52]) ).
tcf(c_10500,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_7944,c_9731]) ).
tcf(c_12159,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(superposition,[status(thm)],[c_7984,c_10500]) ).
tcf(c_21941,plain,
$false,
inference(superposition,[status(thm)],[c_12159,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL089-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 21:52:48 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 21.80/3.80 % SZS status Started for theBenchmark.p
% 21.80/3.80 % SZS status Unsatisfiable for theBenchmark.p
% 21.80/3.80
% 21.80/3.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.80/3.80
% 21.80/3.80 % ------ iProver source info
% 21.80/3.80
% 21.80/3.80 % git: date: 2026-07-19 20:42:38 +0200
% 21.80/3.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.80/3.80 % git: non_committed_changes: false
% 21.80/3.80
% 21.80/3.80 % ------ Parsing...% successful
% 21.80/3.80
% 21.80/3.80
% 21.80/3.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.80/3.80
% 21.80/3.80 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 21.80/3.80
% 21.80/3.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 21.80/3.80 % ------ Proving...
% 21.80/3.80 % ------ Problem Properties
% 21.80/3.80
% 21.80/3.80 %
% 21.80/3.80 % clauses 3
% 21.80/3.80 % conjectures 1
% 21.80/3.80 % EPR 0
% 21.80/3.80 % Horn 3
% 21.80/3.80 % unary 2
% 21.80/3.80 % binary 0
% 21.80/3.80 % lits 5
% 21.80/3.80 % lits eq 0
% 21.80/3.80 % fd_pure 0
% 21.80/3.80 % fd_pseudo 0
% 21.80/3.80 % fd_cond 0
% 21.80/3.80 % fd_pseudo_cond 0
% 21.80/3.80 % AC symbols 0
% 21.80/3.80
% 21.80/3.80 % ------ Input Options Time Limit: Unbounded
% 21.80/3.80
% 21.80/3.80
% 21.80/3.80 % ------
% 21.80/3.80 % Current options:
% 21.80/3.80 % ------
% 21.80/3.80
% 21.80/3.80
% 21.80/3.80 %
% 21.80/3.80
% 21.80/3.80 % ------ Proving...
% 21.80/3.80 %
% 21.80/3.80
% 21.80/3.80 % SZS status Unsatisfiable for theBenchmark.p
% 21.80/3.80
% 21.80/3.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.80/3.81
% 21.80/3.81
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