%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL034-1 : 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 : n016.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 02:05:28 PM UTC 2026
% Result : Unsatisfiable 43.08s 6.80s
% Output : CNFRefutation 43.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of formulae : 51 ( 31 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 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 : 169 ( 0 sgn 169 !; 0 ?; 162 :)
% 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(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_3) ).
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(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X4,X0),implies(X2,X0)))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_76,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_72]) ).
tcf(c_82,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_76,c_52]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
inference(superposition,[status(thm)],[c_76,c_72]) ).
tcf(c_19913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2)) ),
inference(superposition,[status(thm)],[c_83,c_52]) ).
tcf(c_19924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X4,X0),implies(X2,X0)))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_19925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(falsehood,X1),X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_53,c_19913]) ).
tcf(c_19926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(falsehood,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_19925,c_52]) ).
tcf(c_19930,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_53,c_19926]) ).
tcf(c_20034,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_19930,c_82]) ).
tcf(c_20048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3),implies(X4,X3))),
inference(superposition,[status(thm)],[c_19925,c_19924]) ).
tcf(c_20060,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_20034,c_52]) ).
tcf(c_20061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))),
inference(superposition,[status(thm)],[c_20034,c_19924]) ).
tcf(c_20069,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_53,c_20060]) ).
tcf(c_20091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1))),
inference(superposition,[status(thm)],[c_20069,c_19924]) ).
tcf(c_21292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,X3))
| ~ is_a_theorem(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_20048,c_52]) ).
tcf(c_23238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2))),
inference(superposition,[status(thm)],[c_20091,c_19924]) ).
tcf(c_23259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X3),implies(X0,falsehood)),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_23238,c_52]) ).
tcf(c_23267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(implies(falsehood,X3),falsehood)),implies(X4,X1)))),
inference(superposition,[status(thm)],[c_23238,c_21292]) ).
tcf(c_23293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),implies(implies(falsehood,X3),falsehood)),implies(X4,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_23267,c_52]) ).
tcf(c_23369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X2,X0),X3))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood))) ),
inference(superposition,[status(thm)],[c_23259,c_52]) ).
tcf(c_23477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(falsehood,X2),falsehood)),implies(X3,X0))),
inference(superposition,[status(thm)],[c_23267,c_23293]) ).
tcf(c_23591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X1))),X3)) ),
inference(superposition,[status(thm)],[c_20061,c_23369]) ).
tcf(c_24316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1))),
inference(superposition,[status(thm)],[c_23477,c_19924]) ).
tcf(c_24558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X1)) ),
inference(superposition,[status(thm)],[c_24316,c_52]) ).
tcf(c_24562,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(superposition,[status(thm)],[c_24316,c_19924]) ).
tcf(c_24594,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_24562,c_19924]) ).
tcf(c_24934,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_23259,c_24558]) ).
tcf(c_25409,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_24562,c_24934]) ).
tcf(c_25419,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_25409,c_19924]) ).
tcf(c_25450,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_25409,c_23591]) ).
tcf(c_25492,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_25450,c_23369]) ).
tcf(c_25630,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0))),
inference(superposition,[status(thm)],[c_23238,c_25492]) ).
tcf(c_25695,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(superposition,[status(thm)],[c_25419,c_23369]) ).
tcf(c_26034,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(implies(X0,falsehood),X1),X2)) ),
inference(superposition,[status(thm)],[c_24594,c_52]) ).
tcf(c_26038,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_24594,c_19924]) ).
tcf(c_26073,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1))),
inference(superposition,[status(thm)],[c_24594,c_25492]) ).
tcf(c_30171,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X0,falsehood),X1),falsehood),X2))),
inference(superposition,[status(thm)],[c_26073,c_26034]) ).
tcf(c_34959,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood))) ),
inference(superposition,[status(thm)],[c_25630,c_52]) ).
tcf(c_39451,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),falsehood),X2),falsehood),X0)),
inference(superposition,[status(thm)],[c_30171,c_34959]) ).
tcf(c_46201,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_39451,c_19924]) ).
tcf(c_46749,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_46201,c_52]) ).
tcf(c_49193,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_26038,c_46749]) ).
tcf(c_50096,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_49193,c_25695]) ).
tcf(c_50100,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_50096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL034-1 : 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 : n016.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 21:45:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.39 Running first-order theorem proving
% 0.08/0.39 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 43.08/6.80 % SZS status Started for theBenchmark.p
% 43.08/6.80 % SZS status Unsatisfiable for theBenchmark.p
% 43.08/6.80
% 43.08/6.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 43.08/6.80
% 43.08/6.80 % ------ iProver source info
% 43.08/6.80
% 43.08/6.80 % git: date: 2026-07-19 20:42:38 +0200
% 43.08/6.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 43.08/6.80 % git: non_committed_changes: false
% 43.08/6.80
% 43.08/6.80 % ------ Parsing...% successful
% 43.08/6.80
% 43.08/6.80
% 43.08/6.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 43.08/6.80
% 43.08/6.80 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 43.08/6.80
% 43.08/6.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 43.08/6.80 % ------ Proving...
% 43.08/6.80 % ------ Problem Properties
% 43.08/6.80
% 43.08/6.80 %
% 43.08/6.80 % clauses 3
% 43.08/6.80 % conjectures 1
% 43.08/6.80 % EPR 0
% 43.08/6.80 % Horn 3
% 43.08/6.80 % unary 2
% 43.08/6.80 % binary 0
% 43.08/6.80 % lits 5
% 43.08/6.80 % lits eq 0
% 43.08/6.80 % fd_pure 0
% 43.08/6.80 % fd_pseudo 0
% 43.08/6.80 % fd_cond 0
% 43.08/6.80 % fd_pseudo_cond 0
% 43.08/6.80 % AC symbols 0
% 43.08/6.80
% 43.08/6.80 % ------ Input Options Time Limit: Unbounded
% 43.08/6.80
% 43.08/6.80
% 43.08/6.80 % ------
% 43.08/6.80 % Current options:
% 43.08/6.80 % ------
% 43.08/6.80
% 43.08/6.80
% 43.08/6.80 %
% 43.08/6.80
% 43.08/6.80 % ------ Proving...
% 43.08/6.80 %
% 43.08/6.80
% 43.08/6.80 % SZS status Unsatisfiable for theBenchmark.p
% 43.08/6.80
% 43.08/6.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.08/6.80
% 43.08/6.80
%------------------------------------------------------------------------------