%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN573-1 : 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 : 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 03:41:07 PM UTC 2026
% Result : Unsatisfiable 0.86s 1.17s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 28 unt; 8 def)
% Number of atoms : 128 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 34 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p12(c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15_is_p12_1) ).
fof(f3,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
fof(f14,negated_conjecture,
! [X0] :
( ~ p12(X0)
| p2(X0,f9(c17))
| p11(X0,c16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_14) ).
fof(f16,negated_conjecture,
! [X0,X1] : p11(X0,f3(f8(X1),f3(f8(X0),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_17) ).
fof(f19,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_19) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(X0,X1)
| p11(X0,f3(f8(X1),f3(f8(X2),f5(f6(f7(c14)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_21) ).
tcf(c_70,negated_conjecture,
p12(c15),
inference(cnf_transformation,[],[f1]) ).
tcf(c_72,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( p11(X0,c16)
| p2(X0,f9(c17))
| ~ p12(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i] : p11(X0,f3(f8(X1),f3(f8(X0),f5(f6(f7(c14)))))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p11(X1,X3)
| ~ p11(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_88,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
inference(cnf_transformation,[],[f19]) ).
tcf(c_90,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X0,f3(f8(X1),f3(f8(X2),f5(f6(f7(c14))))))
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_278,definition,
iPr_def_10 = f7(c14),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_279,definition,
iPr_def_11 = f6(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_280,definition,
iPr_def_12 = f5(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_281,definition,
iPr_def_13 = f8(c16),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_282,definition,
iPr_def_14 = f9(c17),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_283,definition,
iPr_def_15 = f8(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_284,definition,
iPr_def_16 = f3(iPr_def_15,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_285,definition,
iPr_def_17 = f3(iPr_def_13,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_286,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p11(X0,f3(f8(X1),f3(f8(X2),iPr_def_12)))
| ~ p11(X0,X1) ),
inference(demodulation,[status(thm)],[c_90,c_278,c_279,c_280]) ).
tcf(c_288,negated_conjecture,
~ p11(c15,iPr_def_17),
inference(demodulation,[status(thm)],[c_88,c_282,c_283,c_284,c_281,c_285]) ).
tcf(c_289,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p11(X1,X3)
| ~ p11(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_290,negated_conjecture,
! [X0: $i,X1: $i] : p11(X0,f3(f8(X1),f3(f8(X0),iPr_def_12))),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_291,negated_conjecture,
! [X0: $i] :
( p11(X0,c16)
| p2(X0,iPr_def_14)
| ~ p12(X0) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_292,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_302,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_304,negated_conjecture,
p12(c15),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_686,plain,
! [X0: $i] : p11(iPr_def_14,f3(f8(X0),f3(iPr_def_15,iPr_def_12))),
inference(superposition,[status(thm)],[c_283,c_290]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( p11(X0,f3(f8(X1),f3(iPr_def_15,iPr_def_12)))
| ~ p11(X0,X1) ),
inference(superposition,[status(thm)],[c_283,c_286]) ).
tcf(c_690,plain,
! [X0: $i] : p11(iPr_def_14,f3(f8(X0),iPr_def_16)),
inference(light_normalisation,[status(thm)],[c_686,c_284]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i] :
( p11(X0,f3(f8(X1),iPr_def_16))
| ~ p11(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_689,c_284]) ).
tcf(c_908,plain,
p11(iPr_def_14,f3(iPr_def_13,iPr_def_16)),
inference(superposition,[status(thm)],[c_281,c_690]) ).
tcf(c_910,plain,
p11(iPr_def_14,iPr_def_17),
inference(light_normalisation,[status(thm)],[c_908,c_285]) ).
tcf(c_1199,plain,
! [X0: $i] :
( p11(X0,f3(iPr_def_13,iPr_def_16))
| ~ p11(X0,c16) ),
inference(superposition,[status(thm)],[c_281,c_691]) ).
tcf(c_1203,plain,
! [X0: $i] :
( p11(X0,iPr_def_17)
| ~ p11(X0,c16) ),
inference(light_normalisation,[status(thm)],[c_1199,c_285]) ).
tcf(c_1341,plain,
! [X0: $i] :
( p11(X0,iPr_def_17)
| p2(X0,iPr_def_14)
| ~ p12(X0) ),
inference(superposition,[status(thm)],[c_291,c_1203]) ).
tcf(c_1356,plain,
( p2(c15,iPr_def_14)
| ~ p12(c15) ),
inference(superposition,[status(thm)],[c_1341,c_288]) ).
tcf(c_1357,plain,
p2(c15,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_1356,c_304]) ).
tcf(c_1359,plain,
! [X0: $i] :
( p2(iPr_def_14,X0)
| ~ p2(c15,X0) ),
inference(superposition,[status(thm)],[c_1357,c_292]) ).
tcf(c_1405,plain,
p2(iPr_def_14,c15),
inference(superposition,[status(thm)],[c_302,c_1359]) ).
tcf(c_1409,plain,
! [X0: $i,X1: $i] :
( p11(c15,X1)
| ~ p11(iPr_def_14,X0)
| ~ p2(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_289]) ).
tcf(c_2437,plain,
! [X0: $i] :
( p11(c15,X0)
| ~ p11(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_302,c_1409]) ).
tcf(c_2630,plain,
p11(c15,iPr_def_17),
inference(superposition,[status(thm)],[c_910,c_2437]) ).
tcf(c_2634,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2630,c_288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 01:48:40 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 0.86/1.17 % SZS status Started for theBenchmark.p
% 0.86/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.86/1.17
% 0.86/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.86/1.17
% 0.86/1.17 % ------ iProver source info
% 0.86/1.17
% 0.86/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 0.86/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.86/1.17 % git: non_committed_changes: false
% 0.86/1.17
% 0.86/1.17 % ------ Parsing...% successful
% 0.86/1.17
% 0.86/1.17
% 0.86/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.86/1.17
% 0.86/1.17 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.86/1.17
% 0.86/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.86/1.17
% 0.86/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.86/1.17 % ------ Proving...
% 0.86/1.17 % ------ Problem Properties
% 0.86/1.17
% 0.86/1.17 %
% 0.86/1.17 % clauses 27
% 0.86/1.17 % conjectures 19
% 0.86/1.17 % EPR 9
% 0.86/1.17 % Horn 26
% 0.86/1.17 % unary 13
% 0.86/1.17 % binary 8
% 0.86/1.17 % lits 48
% 0.86/1.17 % lits eq 8
% 0.86/1.17 % fd_pure 0
% 0.86/1.17 % fd_pseudo 0
% 0.86/1.17 % fd_cond 0
% 0.86/1.17 % fd_pseudo_cond 0
% 0.86/1.17 % AC symbols 0
% 0.86/1.17
% 0.86/1.17 % ------ Schedule dynamic 5 is on
% 0.86/1.17
% 0.86/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.86/1.17
% 0.86/1.17
% 0.86/1.17 % ------
% 0.86/1.17 % Current options:
% 0.86/1.17 % ------
% 0.86/1.17
% 0.86/1.17
% 0.86/1.17 %
% 0.86/1.17
% 0.86/1.17 % ------ Proving...
% 0.86/1.17 %
% 0.86/1.17
% 0.86/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.86/1.17
% 0.86/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.86/1.18
%------------------------------------------------------------------------------