%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM842+2 : 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 : n011.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 02:26:52 PM UTC 2026
% Result : Theorem 4.47s 1.28s
% Output : CNFRefutation 4.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f2ERROR: Could not build tree for root c_5121ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( ( greater(vd353,vd354)
& geq(vd355,vd356) )
| ( geq(vd353,vd354)
& greater(vd355,vd356) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(antec(218))') ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( greater(X0,X1)
& greater(X2,X3) )
=> greater(vplus(X0,X2),vplus(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof(f5,axiom,
! [X0,X1,X2] :
( less(vplus(X0,X2),vplus(X1,X2))
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof(f6,axiom,
! [X0,X1,X2] :
( vplus(X0,X2) = vplus(X1,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof(f7,axiom,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
=> greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof(f8,axiom,
! [X0,X1,X2] :
( less(X0,X1)
=> less(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof(f9,axiom,
! [X0,X1,X2] :
( X0 = X1
=> vplus(X0,X2) = vplus(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 1)') ).
fof(f10,axiom,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f11,axiom,
! [X0,X1] : greater(vplus(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( ( less(X0,X1)
& leq(X1,X2) )
| ( leq(X0,X1)
& less(X1,X2) ) )
=> less(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof(f15,axiom,
! [X0,X1] :
( leq(X0,X1)
=> geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof(f16,axiom,
! [X0,X1] :
( geq(X0,X1)
=> leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof(f17,axiom,
! [X0,X1] :
( leq(X1,X0)
<=> ( X1 = X0
| less(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f18,axiom,
! [X0,X1] :
( geq(X1,X0)
<=> ( X1 = X0
| greater(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f19,axiom,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f20,axiom,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f21,axiom,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f22,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f23,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f24,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f25,axiom,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : X0 = vplus(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f26,axiom,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : X1 = vplus(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f27,axiom,
! [X0,X1] :
( ? [X3] : X1 = vplus(X0,X3)
| ? [X2] : X0 = vplus(X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f28,axiom,
! [X0,X1] :
( ~ ? [X2] : X1 = vplus(X0,X2)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof(f29,axiom,
! [X0,X1] :
( ~ ? [X3] : X1 = vplus(X0,X3)
| ~ ? [X2] : X0 = vplus(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f30,axiom,
! [X0,X1] :
( ~ ? [X2] : X0 = vplus(X1,X2)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f31,axiom,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f32,axiom,
! [X0,X1] : X1 != vplus(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f33,axiom,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f36,axiom,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f43,plain,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(flattening,[],[f2]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vplus(X0,X2),vplus(X1,X3)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vplus(X0,X2),vplus(X1,X3)) ),
inference(flattening,[],[f48]) ).
fof(f65,plain,
! [X0,X1] :
( ( ~ greater(X1,X0)
| ? [X2] : X1 = vplus(X0,X2) )
& ( ! [X2] : vplus(X0,X2) != X1
| greater(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f66,plain,
! [X0,X1] :
( ( ~ greater(X1,X0)
| ? [X3] : vplus(X0,X3) = X1 )
& ( ! [X2] : vplus(X0,X2) != X1
| greater(X1,X0) ) ),
inference(rectify,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 )
& ( ! [X2] : vplus(X0,X2) != X1
| greater(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f66]) ).
fof(f69,plain,
! [X0,X1] :
( ( ~ geq(X1,X0)
| X1 = X0
| greater(X1,X0) )
& ( ( X0 != X1
& ~ greater(X1,X0) )
| geq(X1,X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f70,plain,
! [X0,X1] :
( ( ~ geq(X1,X0)
| X1 = X0
| greater(X1,X0) )
& ( ( X0 != X1
& ~ greater(X1,X0) )
| geq(X1,X0) ) ),
inference(flattening,[],[f69]) ).
fof(f76,plain,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(cnf_transformation,[],[f43]) ).
fof(f77,plain,
( greater(vd353,vd354)
| geq(vd353,vd354) ),
inference(cnf_transformation,[],[f3]) ).
fof(f79,plain,
( greater(vd353,vd354)
| greater(vd355,vd356) ),
inference(cnf_transformation,[],[f3]) ).
fof(f80,plain,
( geq(vd355,vd356)
| greater(vd355,vd356) ),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f83,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f88,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vplus(X0,X2),vplus(X1,X3)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f92,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f36]) ).
fof(f93,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f33]) ).
fof(f102,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| greater(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f104,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| geq(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f120,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f83]) ).
tcf(c_49,negated_conjecture,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(cnf_transformation,[],[f76]) ).
tcf(c_50,plain,
( geq(vd355,vd356)
| greater(vd355,vd356) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_51,plain,
( greater(vd355,vd356)
| greater(vd353,vd354) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_53,plain,
( geq(vd353,vd354)
| greater(vd353,vd354) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( vplus(X1,sK0(X1,X0)) = X0 )
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_56,plain,
! [X0: $i] : ~ greater(X0,X0),
inference(cnf_transformation,[],[f120]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f88]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X2,X3)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f92]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f93]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( geq(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_134,plain,
geq(vd355,vd356),
inference(forward_subsumption_resolution,[status(thm)],[c_50,c_74]) ).
tcf(c_144,plain,
geq(vd353,vd354),
inference(forward_subsumption_resolution,[status(thm)],[c_53,c_74]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ( X1 != vd356 )
| ( X0 != vd355 ) ),
inference(resolution_lifted,[status(thm)],[c_134,c_76]) ).
tcf(c_401,plain,
( greater(vd355,vd356)
| ( vd355 = vd356 ) ),
inference(unflattening,[status(thm)],[c_400]) ).
tcf(c_413,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ( X1 != vd354 )
| ( X0 != vd353 ) ),
inference(resolution_lifted,[status(thm)],[c_144,c_76]) ).
tcf(c_414,plain,
( greater(vd353,vd354)
| ( vd353 = vd354 ) ),
inference(unflattening,[status(thm)],[c_413]) ).
tcf(c_1090,plain,
! [X0: $i,X1: $i,X2: $i] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1)),
inference(superposition,[status(thm)],[c_65,c_61]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(vplus(X0,X2),vplus(X2,X1))
| ~ greater(X0,X1) ),
inference(superposition,[status(thm)],[c_66,c_62]) ).
tcf(c_2549,plain,
( ~ greater(vd355,vd356)
| ~ greater(vd353,vd354) ),
inference(superposition,[status(thm)],[c_64,c_49]) ).
tcf(c_2609,plain,
( ( vd353 = vd354 )
| ~ greater(vd355,vd356) ),
inference(superposition,[status(thm)],[c_414,c_2549]) ).
tcf(c_2616,plain,
( ( vd355 = vd356 )
| ( vd353 = vd354 ) ),
inference(superposition,[status(thm)],[c_401,c_2609]) ).
tcf(c_2636,plain,
( ( vd353 = vd354 )
| ~ greater(vplus(vd353,vd355),vplus(vd354,vd355)) ),
inference(superposition,[status(thm)],[c_2616,c_49]) ).
tcf(c_2637,plain,
( ( vd353 = vd354 )
| ~ greater(vplus(vd353,vd355),vplus(vd355,vd354)) ),
inference(theory_normalisation,[status(thm)],[c_2636,c_65,c_66]) ).
tcf(c_4602,plain,
( ( vd353 = vd354 )
| ~ greater(vd353,vd354) ),
inference(superposition,[status(thm)],[c_1235,c_2637]) ).
tcf(c_4880,plain,
vd353 = vd354,
inference(global_subsumption_just,[status(thm)],[c_4602,c_414,c_4602]) ).
tcf(c_4896,plain,
( greater(vd355,vd356)
| greater(vd353,vd353) ),
inference(demodulation,[status(thm)],[c_51,c_4880]) ).
tcf(c_4898,plain,
~ greater(vplus(vd353,vd355),vplus(vd353,vd356)),
inference(demodulation,[status(thm)],[c_49,c_4880]) ).
tcf(c_4899,plain,
greater(vd355,vd356),
inference(forward_subsumption_resolution,[status(thm)],[c_4896,c_56]) ).
tcf(c_4907,plain,
vplus(vd356,sK0(vd356,vd355)) = vd355,
inference(superposition,[status(thm)],[c_4899,c_55]) ).
tcf(c_5039,plain,
! [X0: $i] : greater(vplus(X0,vd355),vplus(X0,vd356)),
inference(superposition,[status(thm)],[c_4907,c_1090]) ).
tcf(c_5121,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_4898,c_5039]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM842+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.36 % Computer : n011.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Thu Sep 24 05:33:27 UTC 2026
% 0.07/0.37 % CPUTime :
% 0.07/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.40 Running first-order theorem proving
% 0.07/0.40 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
% 0.07/0.41
% 0.07/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.41
% 0.07/0.41 % Detected problem language: tptp
% 0.07/0.43 % Proving...
% 4.47/1.28 % SZS status Started for theBenchmark.p
% 4.47/1.28 % SZS status Theorem for theBenchmark.p
% 4.47/1.28
% 4.47/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.47/1.28
% 4.47/1.28 % ------ iProver source info
% 4.47/1.28
% 4.47/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.47/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.47/1.28 % git: non_committed_changes: false
% 4.47/1.28
% 4.47/1.28 % ------ Parsing...
% 4.47/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.47/1.28
% 4.47/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 4.47/1.28
% 4.47/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.47/1.28
% 4.47/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.47/1.28 % ------ Proving...
% 4.47/1.28 % ------ Problem Properties
% 4.47/1.28
% 4.47/1.28 %
% 4.47/1.28 % clauses 37
% 4.47/1.28 % conjectures 1
% 4.47/1.28 % EPR 20
% 4.47/1.28 % Horn 30
% 4.47/1.28 % unary 12
% 4.47/1.28 % binary 16
% 4.47/1.28 % lits 71
% 4.47/1.28 % lits eq 18
% 4.47/1.28 % fd_pure 0
% 4.47/1.28 % fd_pseudo 0
% 4.47/1.28 % fd_cond 0
% 4.47/1.28 % fd_pseudo_cond 5
% 4.47/1.28 % AC symbols 1
% 4.47/1.28
% 4.47/1.28 % ------ Schedule dynamic 5 is on
% 4.47/1.28
% 4.47/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.47/1.28
% 4.47/1.28
% 4.47/1.28 % ------
% 4.47/1.28 % Current options:
% 4.47/1.28 % ------
% 4.47/1.28
% 4.47/1.28
% 4.47/1.28 %
% 4.47/1.28
% 4.47/1.28 % ------ Proving...
% 4.47/1.28 %
% 4.47/1.28
% 4.47/1.28 % SZS status Theorem for theBenchmark.p
% 4.47/1.28
% 4.47/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.47/1.28
% 4.47/1.28
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