%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL035-1 : 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 : n018.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 1.84s 1.26s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 13 unt; 1 def)
% Number of atoms : 38 ( 1 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 31 :)
% 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(falsehood,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_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(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(falsehood,a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,definition,
iPr_def_10 = implies(falsehood,a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_67,negated_conjecture,
~ is_a_theorem(iPr_def_10),
inference(demodulation,[status(thm)],[c_54,c_66]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(iPr_def_10,implies(X0,falsehood)),X1),X2),implies(implies(X2,falsehood),implies(X0,falsehood)))),
inference(superposition,[status(thm)],[c_66,c_53]) ).
tcf(c_149,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_196,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(X0,falsehood),implies(X1,falsehood)),iPr_def_10),implies(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_146,c_149]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,iPr_def_10),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_196,c_149]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(implies(X0,iPr_def_10),X1)) ),
inference(superposition,[status(thm)],[c_218,c_52]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,iPr_def_10))),
inference(superposition,[status(thm)],[c_196,c_242]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,iPr_def_10))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_253,c_52]) ).
tcf(c_269,plain,
! [X0: $i] : is_a_theorem(implies(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_53,c_257]) ).
tcf(c_276,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_10)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_269,c_52]) ).
tcf(c_280,plain,
! [X0: $i] : ~ is_a_theorem(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_276,c_67]) ).
tcf(c_281,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_269,c_280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL035-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 21:43:02 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.84/1.26 % SZS status Started for theBenchmark.p
% 1.84/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.84/1.26
% 1.84/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.84/1.26
% 1.84/1.26 % ------ iProver source info
% 1.84/1.26
% 1.84/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.84/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.84/1.26 % git: non_committed_changes: false
% 1.84/1.26
% 1.84/1.26 % ------ Parsing...% successful
% 1.84/1.26
% 1.84/1.26
% 1.84/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.84/1.26
% 1.84/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.84/1.26
% 1.84/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.84/1.26
% 1.84/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.84/1.26 % ------ Proving...
% 1.84/1.26 % ------ Problem Properties
% 1.84/1.26
% 1.84/1.26 %
% 1.84/1.26 % clauses 4
% 1.84/1.26 % conjectures 1
% 1.84/1.26 % EPR 1
% 1.84/1.26 % Horn 4
% 1.84/1.26 % unary 3
% 1.84/1.26 % binary 0
% 1.84/1.26 % lits 6
% 1.84/1.26 % lits eq 1
% 1.84/1.26 % fd_pure 0
% 1.84/1.26 % fd_pseudo 0
% 1.84/1.26 % fd_cond 0
% 1.84/1.26 % fd_pseudo_cond 0
% 1.84/1.26 % AC symbols 0
% 1.84/1.26
% 1.84/1.26 % ------ Schedule dynamic 5 is on
% 1.84/1.26
% 1.84/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.84/1.26
% 1.84/1.26
% 1.84/1.26 % ------
% 1.84/1.26 % Current options:
% 1.84/1.26 % ------
% 1.84/1.26
% 1.84/1.26
% 1.84/1.26 %
% 1.84/1.26
% 1.84/1.26 % ------ Proving...
% 1.84/1.26 %
% 1.84/1.26
% 1.84/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.84/1.26
% 1.84/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.84/1.27
% 1.84/1.27
%------------------------------------------------------------------------------