%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 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 03:41:09 PM UTC 2026
% Result : Unsatisfiable 2.77s 1.28s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 20 unt; 4 def)
% Number of atoms : 78 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_2) ).
fof(f6,negated_conjecture,
~ p2(c12,f3(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_6) ).
fof(f7,negated_conjecture,
p11(c18,f9(c12,c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
fof(f12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X0,X2)
| p11(X0,f8(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_13) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X2,X1)
| ~ p11(X0,X2)
| p11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X1,X2)
| p11(f9(X0,X1),f9(X0,X2))
| p2(X0,f3(c13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
tcf(c_76,negated_conjecture,
! [X0: $i] : p11(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_80,negated_conjecture,
~ p2(c12,f3(c13)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_81,negated_conjecture,
p11(c18,f9(c12,c14)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_86,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X0,f8(X2,X1))
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_90,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X0,X2)
| ~ p11(X1,X2)
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2,f3(c13))
| p11(f9(X2,X0),f9(X2,X1))
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_312,definition,
iPr_def_10 = f3(c13),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_313,definition,
iPr_def_11 = f8(c16,c14),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_314,definition,
iPr_def_12 = f9(c12,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_320,definition,
iPr_def_18 = f9(c12,c14),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_321,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2,iPr_def_10)
| p11(f9(X2,X0),f9(X2,X1))
| ~ p11(X0,X1) ),
inference(demodulation,[status(thm)],[c_100,c_312]) ).
tcf(c_330,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X0,X2)
| ~ p11(X1,X2)
| ~ p11(X0,X1) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_333,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X0,f8(X2,X1))
| ~ p11(X0,X1) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_334,negated_conjecture,
~ p11(c18,iPr_def_12),
inference(demodulation,[status(thm)],[c_86,c_313,c_314]) ).
tcf(c_339,negated_conjecture,
p11(c18,iPr_def_18),
inference(demodulation,[status(thm)],[c_81,c_320]) ).
tcf(c_340,negated_conjecture,
~ p2(c12,iPr_def_10),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_342,negated_conjecture,
! [X0: $i] : p11(X0,X0),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_720,plain,
! [X0: $i] :
( p2(c12,iPr_def_10)
| p11(f9(c12,X0),iPr_def_12)
| ~ p11(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_314,c_321]) ).
tcf(c_721,plain,
! [X0: $i] :
( p11(f9(c12,X0),iPr_def_12)
| ~ p11(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_720,c_340]) ).
tcf(c_765,plain,
! [X0: $i] :
( p11(X0,iPr_def_11)
| ~ p11(X0,c14) ),
inference(superposition,[status(thm)],[c_313,c_333]) ).
tcf(c_805,plain,
! [X0: $i] :
( p11(c18,X0)
| ~ p11(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_339,c_330]) ).
tcf(c_932,plain,
p11(c14,iPr_def_11),
inference(superposition,[status(thm)],[c_342,c_765]) ).
tcf(c_1291,plain,
( p11(iPr_def_18,iPr_def_12)
| ~ p11(c14,iPr_def_11) ),
inference(superposition,[status(thm)],[c_320,c_721]) ).
tcf(c_1294,plain,
p11(iPr_def_18,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_1291,c_932]) ).
tcf(c_1383,plain,
p11(c18,iPr_def_12),
inference(superposition,[status(thm)],[c_1294,c_805]) ).
tcf(c_1384,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1383,c_334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:48:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 2.77/1.28 % SZS status Started for theBenchmark.p
% 2.77/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.28
% 2.77/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.77/1.28
% 2.77/1.28 % ------ iProver source info
% 2.77/1.28
% 2.77/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.77/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.77/1.28 % git: non_committed_changes: false
% 2.77/1.28
% 2.77/1.28 % ------ Parsing...% successful
% 2.77/1.28
% 2.77/1.28
% 2.77/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.77/1.28
% 2.77/1.28 % ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.77/1.28
% 2.77/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.77/1.28
% 2.77/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.77/1.28 % ------ Proving...
% 2.77/1.28 % ------ Problem Properties
% 2.77/1.28
% 2.77/1.28 %
% 2.77/1.28 % clauses 32
% 2.77/1.28 % conjectures 23
% 2.77/1.28 % EPR 13
% 2.77/1.28 % Horn 30
% 2.77/1.28 % unary 19
% 2.77/1.28 % binary 3
% 2.77/1.28 % lits 56
% 2.77/1.28 % lits eq 9
% 2.77/1.28 % fd_pure 0
% 2.77/1.28 % fd_pseudo 0
% 2.77/1.28 % fd_cond 0
% 2.77/1.28 % fd_pseudo_cond 0
% 2.77/1.28 % AC symbols 0
% 2.77/1.28
% 2.77/1.28 % ------ Schedule dynamic 5 is on
% 2.77/1.28
% 2.77/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.77/1.28
% 2.77/1.28
% 2.77/1.28 % ------
% 2.77/1.28 % Current options:
% 2.77/1.28 % ------
% 2.77/1.28
% 2.77/1.28
% 2.77/1.28 %
% 2.77/1.28
% 2.77/1.28 % ------ Proving...
% 2.77/1.28 %
% 2.77/1.28
% 2.77/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.28
% 2.77/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.77/1.28
% 2.77/1.28
%------------------------------------------------------------------------------