%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 02:31:01 PM UTC 2026
% Result : Unsatisfiable 1.97s 11.30s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 21 unt; 3 def)
% Number of atoms : 138 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 73 ~; 61 |; 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 : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ holds(X1,X2)
| ~ holds(X0,X2)
| holds(and(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',and_definition) ).
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/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(on(X0,X1),X3)
| holds(on(X0,X1),do(pickup(X2),X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ differ(X0,X1)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_4) ).
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/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_2) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ holds(on(X0,X1),X4)
| holds(on(X0,X1),do(putdown(X2,X3),X4)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_4) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(a,c),on(c,d)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ACD) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(and(X0,X2),X1)
| ~ holds(X2,X1)
| ~ holds(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
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_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( holds(on(X0,X1),do(pickup(X3),X2))
| ~ differ(X0,X3)
| ~ holds(on(X0,X1),X2) ),
inference(cnf_transformation,[],[f4]) ).
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_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_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( holds(on(X0,X1),do(putdown(X3,X4),X2))
| ~ holds(on(X0,X1),X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( differ(X1,X0)
| ~ differ(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_92,plain,
differ(a,c),
inference(cnf_transformation,[],[f13]) ).
tcf(c_94,plain,
differ(a,table),
inference(cnf_transformation,[],[f15]) ).
tcf(c_103,plain,
holds(on(c,d),s0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_105,plain,
holds(clear(a),s0),
inference(cnf_transformation,[],[f26]) ).
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_110,negated_conjecture,
! [X0: $i] : ~ holds(and(on(a,c),on(c,d)),X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_229,definition,
iPr_def_10 = on(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_230,definition,
iPr_def_11 = on(c,d),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_231,definition,
iPr_def_12 = and(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_232,negated_conjecture,
! [X0: $i] : ~ holds(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_110,c_230,c_229,c_231]) ).
tcf(c_563,plain,
holds(iPr_def_11,s0),
inference(light_normalisation,[status(thm)],[c_103,c_230]) ).
tcf(c_567,plain,
differ(c,a),
inference(superposition,[status(thm)],[c_92,c_90]) ).
tcf(c_583,plain,
! [X0: $i] :
( holds(iPr_def_12,X0)
| ~ holds(iPr_def_11,X0)
| ~ holds(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_231,c_80]) ).
tcf(c_584,plain,
! [X0: $i] :
( ~ holds(iPr_def_11,X0)
| ~ holds(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583,c_232]) ).
tcf(c_593,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(iPr_def_11,do(putdown(X1,X2),X0))
| ~ holds(on(c,d),X0) ),
inference(superposition,[status(thm)],[c_230,c_88]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(iPr_def_11,do(putdown(X1,X2),X0))
| ~ holds(iPr_def_11,X0) ),
inference(light_normalisation,[status(thm)],[c_593,c_230]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i] :
( holds(iPr_def_11,do(pickup(X1),X0))
| ~ differ(c,X1)
| ~ holds(on(c,d),X0) ),
inference(superposition,[status(thm)],[c_230,c_83]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i] :
( holds(iPr_def_11,do(pickup(X1),X0))
| ~ differ(c,X1)
| ~ holds(iPr_def_11,X0) ),
inference(light_normalisation,[status(thm)],[c_657,c_230]) ).
tcf(c_680,plain,
! [X0: $i] :
( holds(iPr_def_10,do(putdown(a,c),X0))
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(superposition,[status(thm)],[c_229,c_86]) ).
tcf(c_728,plain,
! [X0: $i] :
( ~ holds(holding(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(iPr_def_11,do(putdown(a,c),X0)) ),
inference(superposition,[status(thm)],[c_680,c_584]) ).
tcf(c_739,plain,
! [X0: $i] :
( ~ holds(iPr_def_11,X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(superposition,[status(thm)],[c_594,c_728]) ).
tcf(c_751,plain,
! [X0: $i,X1: $i] :
( ~ differ(c,X0)
| ~ holds(clear(c),X1)
| ~ holds(iPr_def_11,do(pickup(X0),X1))
| ~ holds(holding(a),do(pickup(X0),X1)) ),
inference(superposition,[status(thm)],[c_84,c_739]) ).
tcf(c_778,plain,
! [X0: $i] :
( ~ differ(c,a)
| ~ differ(a,table)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(iPr_def_11,do(pickup(a),X0)) ),
inference(superposition,[status(thm)],[c_81,c_751]) ).
tcf(c_779,plain,
! [X0: $i] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(iPr_def_11,do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_778,c_567,c_94]) ).
tcf(c_809,plain,
! [X0: $i] :
( ~ differ(c,a)
| ~ holds(iPr_def_11,X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) ),
inference(superposition,[status(thm)],[c_658,c_779]) ).
tcf(c_810,plain,
! [X0: $i] :
( ~ holds(iPr_def_11,X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_809,c_567]) ).
tcf(c_824,plain,
( ~ holds(iPr_def_11,s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(superposition,[status(thm)],[c_107,c_810]) ).
tcf(c_828,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_824,c_563,c_108,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.39 % Computer : n026.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Thu Sep 24 06:15:36 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.44
% 0.15/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.44
% 0.15/10.44 % Detected problem language: tptp
% 0.15/10.45 % Proving...
% 1.97/11.30 % SZS status Started for theBenchmark.p
% 1.97/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.97/11.30
% 1.97/11.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.97/11.30
% 1.97/11.30 % ------ iProver source info
% 1.97/11.30
% 1.97/11.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.97/11.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.97/11.30 % git: non_committed_changes: false
% 1.97/11.30
% 1.97/11.30 % ------ Parsing...% successful
% 1.97/11.30
% 1.97/11.30
% 1.97/11.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.97/11.30
% 1.97/11.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.97/11.30
% 1.97/11.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.97/11.30
% 1.97/11.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.97/11.30 % ------ Proving...
% 1.97/11.30 % ------ Problem Properties
% 1.97/11.30
% 1.97/11.30 %
% 1.97/11.30 % clauses 34
% 1.97/11.30 % conjectures 1
% 1.97/11.30 % EPR 13
% 1.97/11.30 % Horn 34
% 1.97/11.30 % unary 23
% 1.97/11.30 % binary 2
% 1.97/11.30 % lits 56
% 1.97/11.30 % lits eq 3
% 1.97/11.30 % fd_pure 0
% 1.97/11.30 % fd_pseudo 0
% 1.97/11.30 % fd_cond 0
% 1.97/11.30 % fd_pseudo_cond 0
% 1.97/11.30 % AC symbols 0
% 1.97/11.30
% 1.97/11.30 % ------ Schedule dynamic 5 is on
% 1.97/11.30
% 1.97/11.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.97/11.30
% 1.97/11.30
% 1.97/11.30 % ------
% 1.97/11.30 % Current options:
% 1.97/11.30 % ------
% 1.97/11.30
% 1.97/11.30
% 1.97/11.30 %
% 1.97/11.30
% 1.97/11.30 % ------ Proving...
% 1.97/11.30 %
% 1.97/11.30
% 1.97/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.97/11.30
% 1.97/11.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.97/11.31
% 1.97/11.31
%------------------------------------------------------------------------------