%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM841+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 : n003.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 02:26:51 PM UTC 2026
% Result : Theorem 4.38s 1.32s
% Output : CNFRefutation 4.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f7ERROR: Could not build tree for root c_2291ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f34,plain,
! [X0,X1] :
( ( ~ greater(X1,X0)
| ? [X2] : X1 = vplus(X0,X2) )
& ( ! [X2] : vplus(X0,X2) != X1
| greater(X1,X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f35,plain,
! [X0,X1] :
( ( ~ greater(X1,X0)
| ? [X3] : vplus(X0,X3) = X1 )
& ( ! [X2] : vplus(X0,X2) != X1
| greater(X1,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f36,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))],[f35]) ).
fof(f37,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f28]) ).
fof(f38,plain,
greater(vd344,vd345),
inference(cnf_transformation,[],[f8]) ).
fof(f40,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f42,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
greater(vd347,vd348),
inference(cnf_transformation,[],[f7]) ).
fof(f48,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f25]) ).
fof(f49,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f22]) ).
tcf(c_49,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_50,plain,
greater(vd344,vd345),
inference(cnf_transformation,[],[f38]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( ( vplus(X1,sK0(X1,X0)) = X0 )
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f42]) ).
tcf(c_57,plain,
greater(vd347,vd348),
inference(cnf_transformation,[],[f45]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f48]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f49]) ).
tcf(c_73,negated_conjecture,
~ greater(vplus(vd347,vd344),vplus(vd345,vd348)),
inference(theory_normalisation,[status(thm)],[c_49,c_60,c_61]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] : greater(vplus(X0,X1),X1),
inference(superposition,[status(thm)],[c_61,c_54]) ).
tcf(c_340,plain,
vplus(vd345,sK0(vd345,vd344)) = vd344,
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_343,plain,
vplus(vd348,sK0(vd348,vd347)) = vd347,
inference(superposition,[status(thm)],[c_57,c_53]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i,X2: $i] : greater(vplus(X0,vplus(X1,X2)),X2),
inference(superposition,[status(thm)],[c_60,c_309]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i,X2: $i] : greater(vplus(X0,vplus(X1,X2)),X1),
inference(superposition,[status(thm)],[c_61,c_355]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : greater(vplus(X0,vplus(X1,vplus(X2,X3))),vplus(X1,X2)),
inference(superposition,[status(thm)],[c_60,c_388]) ).
tcf(c_1945,plain,
! [X0: $i,X1: $i] : greater(vplus(X0,vplus(X1,vd344)),vplus(X1,vd345)),
inference(superposition,[status(thm)],[c_340,c_407]) ).
tcf(c_1991,plain,
! [X0: $i,X1: $i] : greater(vplus(X0,vplus(vd344,X1)),vplus(X1,vd345)),
inference(superposition,[status(thm)],[c_61,c_1945]) ).
tcf(c_2065,plain,
! [X0: $i,X1: $i] : greater(vplus(vplus(vd344,X0),X1),vplus(X0,vd345)),
inference(superposition,[status(thm)],[c_61,c_1991]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i] : greater(vplus(vd344,vplus(X0,X1)),vplus(X0,vd345)),
inference(theory_normalisation,[status(thm)],[c_2065,c_60,c_61]) ).
tcf(c_2284,plain,
greater(vplus(vd344,vd347),vplus(vd348,vd345)),
inference(superposition,[status(thm)],[c_343,c_2074]) ).
tcf(c_2290,plain,
greater(vplus(vd347,vd344),vplus(vd345,vd348)),
inference(theory_normalisation,[status(thm)],[c_2284,c_60,c_61]) ).
tcf(c_2291,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2290,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM841+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n003.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 05:35:05 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 4.38/1.32 % SZS status Started for theBenchmark.p
% 4.38/1.32 % SZS status Theorem for theBenchmark.p
% 4.38/1.32
% 4.38/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.38/1.32
% 4.38/1.32 % ------ iProver source info
% 4.38/1.32
% 4.38/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.38/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.38/1.32 % git: non_committed_changes: false
% 4.38/1.32
% 4.38/1.32 % ------ Parsing...
% 4.38/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.38/1.32
% 4.38/1.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.38/1.32
% 4.38/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.38/1.32
% 4.38/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.38/1.32 % ------ Proving...
% 4.38/1.32 % ------ Problem Properties
% 4.38/1.32
% 4.38/1.32 %
% 4.38/1.32 % clauses 13
% 4.38/1.32 % conjectures 1
% 4.38/1.32 % EPR 2
% 4.38/1.32 % Horn 13
% 4.38/1.32 % unary 9
% 4.38/1.32 % binary 4
% 4.38/1.32 % lits 17
% 4.38/1.32 % lits eq 6
% 4.38/1.32 % fd_pure 0
% 4.38/1.32 % fd_pseudo 0
% 4.38/1.32 % fd_cond 0
% 4.38/1.32 % fd_pseudo_cond 1
% 4.38/1.32 % AC symbols 1
% 4.38/1.32
% 4.38/1.32 % ------ Schedule dynamic 5 is on
% 4.38/1.32
% 4.38/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.38/1.32
% 4.38/1.32
% 4.38/1.32 % ------
% 4.38/1.32 % Current options:
% 4.38/1.32 % ------
% 4.38/1.32
% 4.38/1.32
% 4.38/1.32 %
% 4.38/1.32
% 4.38/1.32 % ------ Proving...
% 4.38/1.32 %
% 4.38/1.32
% 4.38/1.32 % SZS status Theorem for theBenchmark.p
% 4.38/1.32
% 4.38/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.38/1.32
% 4.38/1.32
%------------------------------------------------------------------------------