%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG377-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.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 12:54:08 PM UTC 2026
% Result : Unsatisfiable 3.66s 1.25s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f579,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__left__mono_0) ).
fof(f623,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f624,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1075,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f579]) ).
tcf(c_1109,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f623]) ).
tcf(c_1110,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f624]) ).
tcf(c_3162,plain,
~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_1075,c_1110]) ).
tcf(c_3163,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1109,c_3162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG377-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 05:30:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.46
% 0.11/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.46
% 0.11/0.46 % Detected problem language: tptp
% 0.11/0.48 % Proving...
% 3.66/1.25 % SZS status Started for theBenchmark.p
% 3.66/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.25
% 3.66/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.66/1.25
% 3.66/1.25 % ------ iProver source info
% 3.66/1.25
% 3.66/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 3.66/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.66/1.25 % git: non_committed_changes: false
% 3.66/1.25
% 3.66/1.25 % ------ Parsing...% successful
% 3.66/1.25
% 3.66/1.25
% 3.66/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.66/1.25 % ------ Proving...
% 3.66/1.25 % ------ Problem Properties
% 3.66/1.25
% 3.66/1.25 %
% 3.66/1.25 % clauses 555
% 3.66/1.25 % conjectures 1
% 3.66/1.25 % EPR 108
% 3.66/1.25 % Horn 472
% 3.66/1.25 % unary 119
% 3.66/1.25 % binary 168
% 3.66/1.25 % lits 1425
% 3.66/1.25 % lits eq 291
% 3.66/1.25 % fd_pure 0
% 3.66/1.25 % fd_pseudo 0
% 3.66/1.25 % fd_cond 17
% 3.66/1.25 % fd_pseudo_cond 67
% 3.66/1.25 % AC symbols 0
% 3.66/1.25
% 3.66/1.25 % ------ Input Options Time Limit: Unbounded
% 3.66/1.25
% 3.66/1.25
% 3.66/1.25 % ------
% 3.66/1.25 % Current options:
% 3.66/1.25 % ------
% 3.66/1.25
% 3.66/1.25
% 3.66/1.25 %
% 3.66/1.25
% 3.66/1.25 % ------ Proving...
% 3.66/1.25 %
% 3.66/1.25
% 3.66/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.25
% 3.66/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.66/1.25
% 3.66/1.25
%------------------------------------------------------------------------------