%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PLA019-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 02:31:00 PM UTC 2026
% Result : Unsatisfiable 3.01s 1.52s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 19 unt; 1 def)
% Number of atoms : 113 ( 1 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 142 ( 79 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ differ(X0,table)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| holds(holding(X0),do(pickup(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ holds(on(X1,X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_2) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ differ(X0,X1)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_4) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(empty,do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(clear(X0),do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_3) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(clear(X0),X3)
| holds(clear(X0),do(putdown(X1,X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
fof(f30,axiom,
! [X0] : holds(clear(table),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',clear_table) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(on(d,c),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_DC) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( holds(holding(X0),do(pickup(X0),X1))
| ~ differ(X0,table)
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ holds(on(X0,X1),X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(clear(X0),do(pickup(X2),X1))
| ~ differ(X0,X2)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(empty,do(putdown(X2,X0),X1))
| ~ holds(holding(X2),X1)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(on(X2,X0),do(putdown(X2,X0),X1))
| ~ holds(holding(X2),X1)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(clear(X2),do(putdown(X2,X0),X1))
| ~ holds(holding(X2),X1)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( holds(clear(X0),do(putdown(X3,X2),X1))
| ~ differ(X0,X2)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_98,plain,
differ(c,d),
inference(cnf_transformation,[],[f19]) ).
tcf(c_99,plain,
differ(c,table),
inference(cnf_transformation,[],[f20]) ).
tcf(c_100,plain,
differ(d,table),
inference(cnf_transformation,[],[f21]) ).
tcf(c_103,plain,
holds(on(c,d),s0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_107,plain,
holds(clear(c),s0),
inference(cnf_transformation,[],[f28]) ).
tcf(c_108,plain,
holds(empty,s0),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,plain,
! [X0: $i] : holds(clear(table),X0),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
! [X0: $i] : ~ holds(on(d,c),X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_329,definition,
iPr_def_10 = on(d,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_330,negated_conjecture,
! [X0: $i] : ~ holds(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_110,c_329]) ).
tcf(c_701,plain,
! [X0: $i] :
( holds(iPr_def_10,do(putdown(d,c),X0))
| ~ holds(holding(d),X0)
| ~ holds(clear(c),X0) ),
inference(superposition,[status(thm)],[c_329,c_86]) ).
tcf(c_702,plain,
! [X0: $i] :
( ~ holds(holding(d),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_701,c_330]) ).
tcf(c_711,plain,
! [X0: $i,X1: $i] :
( ~ differ(c,X0)
| ~ holds(clear(c),X1)
| ~ holds(holding(d),do(pickup(X0),X1)) ),
inference(superposition,[status(thm)],[c_84,c_702]) ).
tcf(c_752,plain,
! [X0: $i] :
( ~ differ(c,d)
| ~ differ(d,table)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0) ),
inference(superposition,[status(thm)],[c_81,c_711]) ).
tcf(c_753,plain,
! [X0: $i] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_752,c_98,c_100]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i] :
( ~ holds(holding(c),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,do(putdown(c,X0),X1))
| ~ holds(clear(d),do(putdown(c,X0),X1)) ),
inference(superposition,[status(thm)],[c_87,c_753]) ).
tcf(c_865,plain,
! [X0: $i,X1: $i] :
( ~ holds(holding(c),X1)
| ~ holds(clear(X0),X1)
| ~ holds(clear(d),do(putdown(c,X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_767,c_85]) ).
tcf(c_875,plain,
! [X0: $i,X1: $i] :
( ~ differ(d,X0)
| ~ holds(holding(c),X1)
| ~ holds(clear(d),X1)
| ~ holds(clear(X0),X1) ),
inference(superposition,[status(thm)],[c_89,c_865]) ).
tcf(c_969,plain,
! [X0: $i] :
( ~ differ(d,table)
| ~ holds(holding(c),X0)
| ~ holds(clear(d),X0) ),
inference(superposition,[status(thm)],[c_109,c_875]) ).
tcf(c_974,plain,
! [X0: $i] :
( ~ holds(holding(c),X0)
| ~ holds(clear(d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_969,c_100]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i] :
( ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1)
| ~ holds(holding(c),do(pickup(X0),X1)) ),
inference(superposition,[status(thm)],[c_82,c_974]) ).
tcf(c_1032,plain,
! [X0: $i] :
( ~ differ(c,table)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) ),
inference(superposition,[status(thm)],[c_81,c_984]) ).
tcf(c_1033,plain,
! [X0: $i] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1032,c_99]) ).
tcf(c_1044,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(superposition,[status(thm)],[c_103,c_1033]) ).
tcf(c_1048,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1044,c_108,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PLA019-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.45 % Computer : n013.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Thu Sep 24 06:12:37 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 0.23/0.53
% 0.23/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.53
% 0.23/0.53 % Detected problem language: tptp
% 0.23/0.55 % Proving...
% 3.01/1.52 % SZS status Started for theBenchmark.p
% 3.01/1.52 % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.52
% 3.01/1.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.01/1.52
% 3.01/1.52 % ------ iProver source info
% 3.01/1.52
% 3.01/1.52 % git: date: 2026-07-19 20:42:38 +0200
% 3.01/1.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.01/1.52 % git: non_committed_changes: false
% 3.01/1.52
% 3.01/1.52 % ------ Parsing...% successful
% 3.01/1.52
% 3.01/1.52
% 3.01/1.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.01/1.52
% 3.01/1.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.01/1.52
% 3.01/1.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.01/1.52
% 3.01/1.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.01/1.52 % ------ Proving...
% 3.01/1.52 % ------ Problem Properties
% 3.01/1.52
% 3.01/1.52 %
% 3.01/1.52 % clauses 31
% 3.01/1.52 % conjectures 1
% 3.01/1.52 % EPR 13
% 3.01/1.52 % Horn 31
% 3.01/1.52 % unary 21
% 3.01/1.52 % binary 2
% 3.01/1.52 % lits 51
% 3.01/1.52 % lits eq 1
% 3.01/1.52 % fd_pure 0
% 3.01/1.52 % fd_pseudo 0
% 3.01/1.52 % fd_cond 0
% 3.01/1.52 % fd_pseudo_cond 0
% 3.01/1.52 % AC symbols 0
% 3.01/1.52
% 3.01/1.52 % ------ Schedule dynamic 5 is on
% 3.01/1.52
% 3.01/1.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.01/1.52
% 3.01/1.52
% 3.01/1.52 % ------
% 3.01/1.52 % Current options:
% 3.01/1.52 % ------
% 3.01/1.52
% 3.01/1.52
% 3.01/1.52 %
% 3.01/1.52
% 3.01/1.52 % ------ Proving...
% 3.01/1.52 %
% 3.01/1.52
% 3.01/1.52 % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.52
% 3.01/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.01/1.52
% 3.01/1.52
%------------------------------------------------------------------------------