%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 03:16:48 PM UTC 2026
% Result : Unsatisfiable 1.53s 1.28s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 2 def)
% Number of atoms : 39 ( 24 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
tcf(c_52,negated_conjecture,
( ( v_K != v_K_H )
| ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
( ( v_K = v_K_H )
| ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,plain,
! [X0: $i] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_86,definition,
iPr_def_10 = c_Message_OinvKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_87,definition,
iPr_def_11 = c_Message_OinvKey(v_K_H),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_88,negated_conjecture,
( ( iPr_def_10 = iPr_def_11 )
| ( v_K = v_K_H ) ),
inference(demodulation,[status(thm)],[c_53,c_87,c_86]) ).
tcf(c_89,negated_conjecture,
( ( iPr_def_10 != iPr_def_11 )
| ( v_K != v_K_H ) ),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_150,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( c_Message_OinvKey(v_K) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_88,c_87]) ).
tcf(c_151,plain,
iPr_def_10 = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_150,c_86]) ).
tcf(c_152,plain,
v_K != v_K_H,
inference(backward_subsumption_resolution,[status(thm)],[c_89,c_151]) ).
tcf(c_153,plain,
c_Message_OinvKey(v_K_H) = iPr_def_10,
inference(demodulation,[status(thm)],[c_87,c_151]) ).
tcf(c_154,plain,
c_Message_OinvKey(iPr_def_10) = v_K,
inference(superposition,[status(thm)],[c_86,c_54]) ).
tcf(c_155,plain,
c_Message_OinvKey(iPr_def_10) = v_K_H,
inference(superposition,[status(thm)],[c_153,c_54]) ).
tcf(c_157,plain,
v_K = v_K_H,
inference(light_normalisation,[status(thm)],[c_155,c_154]) ).
tcf(c_158,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_157,c_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 18:49:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.53/1.28 % SZS status Started for theBenchmark.p
% 1.53/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.53/1.28
% 1.53/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.53/1.28
% 1.53/1.28 % ------ iProver source info
% 1.53/1.28
% 1.53/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.53/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.53/1.28 % git: non_committed_changes: false
% 1.53/1.28
% 1.53/1.28 % ------ Parsing...% successful
% 1.53/1.28
% 1.53/1.28
% 1.53/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.53/1.28
% 1.53/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.53/1.28
% 1.53/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.53/1.28
% 1.53/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.53/1.28 % ------ Proving...
% 1.53/1.28 % ------ Problem Properties
% 1.53/1.28
% 1.53/1.28 %
% 1.53/1.28 % clauses 5
% 1.53/1.28 % conjectures 2
% 1.53/1.28 % EPR 2
% 1.53/1.28 % Horn 4
% 1.53/1.28 % unary 3
% 1.53/1.28 % binary 2
% 1.53/1.28 % lits 7
% 1.53/1.28 % lits eq 7
% 1.53/1.28 % fd_pure 0
% 1.53/1.28 % fd_pseudo 0
% 1.53/1.28 % fd_cond 0
% 1.53/1.28 % fd_pseudo_cond 0
% 1.53/1.28 % AC symbols 0
% 1.53/1.28
% 1.53/1.28 % ------ Schedule dynamic 5 is on
% 1.53/1.28
% 1.53/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.53/1.28
% 1.53/1.28
% 1.53/1.28 % ------
% 1.53/1.28 % Current options:
% 1.53/1.28 % ------
% 1.53/1.28
% 1.53/1.28
% 1.53/1.28 %
% 1.53/1.28
% 1.53/1.28 % ------ Proving...
% 1.53/1.28 %
% 1.53/1.28
% 1.53/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.53/1.28
% 1.53/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.53/1.28
% 1.53/1.28
%------------------------------------------------------------------------------