%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG350-1 : 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 : n007.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 12:54:05 PM UTC 2026
% Result : Unsatisfiable 4.34s 1.31s
% Output : CNFRefutation 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 67 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 40 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f290,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
fof(f359,axiom,
! [X2,X0,X1] :
( c_lessequals(X2,X1,X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
fof(f360,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
fof(f395,axiom,
! [X0] :
( ~ hBOOL(hAPP(v_P,X0))
| c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f396,negated_conjecture,
hBOOL(hAPP(v_P,v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f397,negated_conjecture,
~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f421,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
tcf(c_429,negated_conjecture,
hBOOL(hAPP(v_P,v_xa)),
inference(cnf_transformation,[],[f396]) ).
tcf(c_430,negated_conjecture,
~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
inference(cnf_transformation,[],[f397]) ).
tcf(c_431,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal)
| ~ hBOOL(hAPP(v_P,X0)) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_433,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f421]) ).
tcf(c_442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X0,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X1,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X0,X2)
| ~ c_HOL_Oord__class_Oless(X0,X1,X2) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_649,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal)
| ( hAPP(v_P,X0) != hAPP(v_P,v_xa) ) ),
inference(resolution_lifted,[status(thm)],[c_431,c_429]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_HOL_Oord__class_Oless(X2,X1,X0)
| c_lessequals(X1,X2,X0)
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_443,c_433]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_663]) ).
tcf(c_683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_442,c_433]) ).
tcf(c_684,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_683]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_451,c_433]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_693]) ).
tcf(c_1024,plain,
! [X0: $i,X1: $i] :
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_684]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(renaming,[status(thm)],[c_1024]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_664]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(renaming,[status(thm)],[c_1026]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] :
( ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_694]) ).
tcf(c_1030,plain,
! [X0: $i] :
( ( hAPP(v_P,X0) != hAPP(v_P,v_xa) )
| c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_649]) ).
tcf(c_1031,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal)
| ( hAPP(v_P,X0) != hAPP(v_P,v_xa) ) ),
inference(renaming,[status(thm)],[c_1030]) ).
tcf(c_1447,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_1027,c_1028]) ).
tcf(c_1454,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X0,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_1027,c_1447]) ).
tcf(c_1464,plain,
c_lessequals(v_Y____,v_xa,tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_1454,c_430]) ).
tcf(c_1467,plain,
~ c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_1464,c_1025]) ).
tcf(c_1472,plain,
c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
inference(equality_resolution,[status(thm)],[c_1031]) ).
tcf(c_1473,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1472,c_1467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG350-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n007.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 : Fri Sep 25 05:24:23 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...
% 4.34/1.31 % SZS status Started for theBenchmark.p
% 4.34/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.34/1.31
% 4.34/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.34/1.31
% 4.34/1.31 % ------ iProver source info
% 4.34/1.31
% 4.34/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.34/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.34/1.31 % git: non_committed_changes: false
% 4.34/1.31
% 4.34/1.31 % ------ Parsing...% successful
% 4.34/1.31
% 4.34/1.31
% 4.34/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.34/1.31
% 4.34/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 4.34/1.31
% 4.34/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.34/1.31
% 4.34/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.34/1.31 % ------ Proving...
% 4.34/1.31 % ------ Problem Properties
% 4.34/1.31
% 4.34/1.31 %
% 4.34/1.31 % clauses 10
% 4.34/1.31 % conjectures 1
% 4.34/1.31 % EPR 8
% 4.34/1.31 % Horn 6
% 4.34/1.31 % unary 3
% 4.34/1.31 % binary 5
% 4.34/1.31 % lits 19
% 4.34/1.31 % lits eq 2
% 4.34/1.31 % fd_pure 0
% 4.34/1.31 % fd_pseudo 0
% 4.34/1.31 % fd_cond 0
% 4.34/1.31 % fd_pseudo_cond 1
% 4.34/1.31 % AC symbols 0
% 4.34/1.31
% 4.34/1.31 % ------ Schedule dynamic 5 is on
% 4.34/1.31
% 4.34/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.34/1.31
% 4.34/1.31
% 4.34/1.31 % ------
% 4.34/1.31 % Current options:
% 4.34/1.31 % ------
% 4.34/1.31
% 4.34/1.31
% 4.34/1.31 %
% 4.34/1.31
% 4.34/1.31 % ------ Proving...
% 4.34/1.31 %
% 4.34/1.31
% 4.34/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.34/1.31
% 4.34/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.34/1.31
% 4.34/1.31
%------------------------------------------------------------------------------