%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL036-1 : 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 : n020.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 18.44s 3.31s
% Output : CNFRefutation 18.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 27 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 137 !; 0 ?; 130 :)
% 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,falsehood),falsehood),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_5) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
inference(cnf_transformation,[],[f3]) ).
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,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_111,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_54]) ).
tcf(c_134,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_111]) ).
tcf(c_169,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_134,c_54]) ).
tcf(c_170,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_134,c_111]) ).
tcf(c_202,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_170,c_54]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))),
inference(superposition,[status(thm)],[c_170,c_111]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_203,c_111]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_231,c_169]) ).
tcf(c_392,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_202]) ).
tcf(c_435,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_392,c_111]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_319,c_54]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_53,c_487]) ).
tcf(c_631,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_610,c_111]) ).
tcf(c_869,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_435,c_54]) ).
tcf(c_879,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_134,c_869]) ).
tcf(c_950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X1))),X3),implies(X4,X3))),
inference(superposition,[status(thm)],[c_879,c_111]) ).
tcf(c_1997,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_631,c_111]) ).
tcf(c_13168,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_1997,c_54]) ).
tcf(c_13178,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_1997,c_869]) ).
tcf(c_14848,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_13168,c_54]) ).
tcf(c_15603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,implies(X3,X2)))),X4)) ),
inference(superposition,[status(thm)],[c_950,c_14848]) ).
tcf(c_27287,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_13178,c_15603]) ).
tcf(c_27535,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_27287,c_111]) ).
tcf(c_28500,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_27535,c_54]) ).
tcf(c_28504,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(superposition,[status(thm)],[c_27535,c_111]) ).
tcf(c_28934,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_13168,c_28500]) ).
tcf(c_28947,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_28504,c_111]) ).
tcf(c_30318,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_27287,c_28934]) ).
tcf(c_30579,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_30318,c_15603]) ).
tcf(c_30899,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_30579,c_14848]) ).
tcf(c_31966,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_1997,c_30899]) ).
tcf(c_35585,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1))),
inference(superposition,[status(thm)],[c_28947,c_30899]) ).
tcf(c_48921,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_31966,c_54]) ).
tcf(c_52425,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),falsehood),X0)),
inference(superposition,[status(thm)],[c_35585,c_48921]) ).
tcf(c_52440,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_52425]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL036-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 21:42:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 18.44/3.31 % SZS status Started for theBenchmark.p
% 18.44/3.31 % SZS status Unsatisfiable for theBenchmark.p
% 18.44/3.31
% 18.44/3.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.44/3.31
% 18.44/3.31 % ------ iProver source info
% 18.44/3.31
% 18.44/3.31 % git: date: 2026-07-19 20:42:38 +0200
% 18.44/3.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.44/3.31 % git: non_committed_changes: false
% 18.44/3.31
% 18.44/3.31 % ------ Parsing...% successful
% 18.44/3.31
% 18.44/3.31
% 18.44/3.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.44/3.31
% 18.44/3.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 18.44/3.31
% 18.44/3.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 18.44/3.31 % ------ Proving...
% 18.44/3.31 % ------ Problem Properties
% 18.44/3.31
% 18.44/3.31 %
% 18.44/3.31 % clauses 3
% 18.44/3.31 % conjectures 1
% 18.44/3.31 % EPR 0
% 18.44/3.31 % Horn 3
% 18.44/3.31 % unary 2
% 18.44/3.31 % binary 0
% 18.44/3.31 % lits 5
% 18.44/3.31 % lits eq 0
% 18.44/3.31 % fd_pure 0
% 18.44/3.31 % fd_pseudo 0
% 18.44/3.32 % fd_cond 0
% 18.44/3.32 % fd_pseudo_cond 0
% 18.44/3.32 % AC symbols 0
% 18.44/3.32
% 18.44/3.32 % ------ Schedule dynamic 5 is on
% 18.44/3.32
% 18.44/3.32 % ------ no equalities: superposition off
% 18.44/3.32
% 18.44/3.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.44/3.32
% 18.44/3.32
% 18.44/3.32 % ------
% 18.44/3.32 % Current options:
% 18.44/3.32 % ------
% 18.44/3.32
% 18.44/3.32
% 18.44/3.32 %
% 18.44/3.32
% 18.44/3.32 % ------ Proving...
% 18.44/3.32 %
% 18.44/3.32
% 18.44/3.32 % SZS status Unsatisfiable for theBenchmark.p
% 18.44/3.32
% 18.44/3.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.44/3.32
% 18.44/3.32
%------------------------------------------------------------------------------