%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 03:16:11 PM UTC 2026
% Result : Unsatisfiable 0.90s 1.27s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 24 unt; 3 def)
% Number of atoms : 75 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 43 ( 24 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( ~ less_than(X2,X1)
| ~ less_than(X0,X2)
| less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',transitivity_of_less_than) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
| less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',all_related) ).
fof(f9,axiom,
! [X0] : ~ less_than(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV001-0.ax',x_not_less_than_x) ).
fof(f19,negated_conjecture,
less_than(a(j),a(k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,j)
| less_than(X0,i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f23,negated_conjecture,
~ less_than(q,i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f24,negated_conjecture,
~ less_than(j,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f25,negated_conjecture,
less_than(a(q),a(j)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| less_than(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_80,plain,
! [X0: $i] : ~ less_than(X0,X0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_86,negated_conjecture,
less_than(a(j),a(k)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_87,negated_conjecture,
! [X0: $i] :
( less_than(X0,i)
| ~ less_than(X0,j)
| ~ less_than(a(X0),a(k)) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_90,negated_conjecture,
~ less_than(q,i),
inference(cnf_transformation,[],[f23]) ).
tcf(c_91,negated_conjecture,
~ less_than(j,q),
inference(cnf_transformation,[],[f24]) ).
tcf(c_92,negated_conjecture,
less_than(a(q),a(j)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_222,definition,
iPr_def_10 = a(q),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_223,definition,
iPr_def_11 = a(j),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_226,definition,
iPr_def_14 = a(k),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_227,negated_conjecture,
less_than(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_92,c_223,c_222]) ).
tcf(c_228,negated_conjecture,
~ less_than(j,q),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_229,negated_conjecture,
~ less_than(q,i),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_232,negated_conjecture,
! [X0: $i] :
( less_than(X0,i)
| ~ less_than(X0,j)
| ~ less_than(a(X0),iPr_def_14) ),
inference(demodulation,[status(thm)],[c_87,c_226]) ).
tcf(c_233,negated_conjecture,
less_than(iPr_def_11,iPr_def_14),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_624,plain,
( less_than(q,i)
| ~ less_than(iPr_def_10,iPr_def_14)
| ~ less_than(q,j) ),
inference(superposition,[status(thm)],[c_222,c_232]) ).
tcf(c_626,plain,
( ~ less_than(iPr_def_10,iPr_def_14)
| ~ less_than(q,j) ),
inference(forward_subsumption_resolution,[status(thm)],[c_624,c_229]) ).
tcf(c_734,plain,
( less_than(q,j)
| ( j = q ) ),
inference(superposition,[status(thm)],[c_79,c_228]) ).
tcf(c_967,plain,
! [X0: $i] :
( less_than(iPr_def_10,X0)
| ~ less_than(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_227,c_78]) ).
tcf(c_1102,plain,
less_than(iPr_def_10,iPr_def_14),
inference(superposition,[status(thm)],[c_233,c_967]) ).
tcf(c_1106,plain,
~ less_than(q,j),
inference(backward_subsumption_resolution,[status(thm)],[c_626,c_1102]) ).
tcf(c_1107,plain,
j = q,
inference(backward_subsumption_resolution,[status(thm)],[c_734,c_1106]) ).
tcf(c_1110,plain,
a(j) = iPr_def_10,
inference(demodulation,[status(thm)],[c_222,c_1107]) ).
tcf(c_1116,plain,
iPr_def_10 = iPr_def_11,
inference(demodulation,[status(thm)],[c_223,c_1110]) ).
tcf(c_1121,plain,
less_than(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_227,c_1116]) ).
tcf(c_1122,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1121,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n026.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 18:19:09 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.39 Running first-order theorem proving
% 0.07/0.39 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
% 0.07/0.40
% 0.07/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.40
% 0.07/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 0.90/1.27 % SZS status Started for theBenchmark.p
% 0.90/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.27
% 0.90/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.90/1.27
% 0.90/1.27 % ------ iProver source info
% 0.90/1.27
% 0.90/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 0.90/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.90/1.27 % git: non_committed_changes: false
% 0.90/1.27
% 0.90/1.27 % ------ Parsing...% successful
% 0.90/1.27
% 0.90/1.27
% 0.90/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.90/1.27
% 0.90/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.90/1.27
% 0.90/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.90/1.27
% 0.90/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.90/1.27 % ------ Proving...
% 0.90/1.27 % ------ Problem Properties
% 0.90/1.27
% 0.90/1.27 %
% 0.90/1.27 % clauses 26
% 0.90/1.27 % conjectures 11
% 0.90/1.27 % EPR 12
% 0.90/1.27 % Horn 24
% 0.90/1.27 % unary 18
% 0.90/1.27 % binary 3
% 0.90/1.27 % lits 40
% 0.90/1.27 % lits eq 12
% 0.90/1.28 % fd_pure 0
% 0.90/1.28 % fd_pseudo 0
% 0.90/1.28 % fd_cond 0
% 0.90/1.28 % fd_pseudo_cond 3
% 0.90/1.28 % AC symbols 0
% 0.90/1.28
% 0.90/1.28 % ------ Schedule dynamic 5 is on
% 0.90/1.28
% 0.90/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.90/1.28
% 0.90/1.28
% 0.90/1.28 % ------
% 0.90/1.28 % Current options:
% 0.90/1.28 % ------
% 0.90/1.28
% 0.90/1.28
% 0.90/1.28 %
% 0.90/1.28
% 0.90/1.28 % ------ Proving...
% 0.90/1.28 %
% 0.90/1.28
% 0.90/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.28
% 0.90/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.90/1.28
% 0.90/1.28
%------------------------------------------------------------------------------