%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN619-1 : 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 : n012.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 03:41:14 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.96s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 52 ( 26 unt; 9 def)
% Number of atoms : 143 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 43 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
! [X0] : p17(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_6) ).
fof(f7,negated_conjecture,
p18(c24,f6(c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_7) ).
fof(f8,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_8) ).
fof(f9,negated_conjecture,
! [X0,X1] :
( ~ p17(f3(X0),X1)
| p17(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_9) ).
fof(f24,negated_conjecture,
! [X0] :
( ~ p18(X0,f6(c25))
| p2(f14(X0),c20)
| p18(X0,f6(c19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).
fof(f27,negated_conjecture,
! [X0] :
( ~ p18(X0,f6(c25))
| p17(f3(c21),f15(X0))
| p18(X0,f6(c19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] :
( ~ p8(c24,f9(f13(X0,X1),X2))
| ~ p17(c21,X1)
| ~ p2(X0,c20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_32) ).
fof(f33,negated_conjecture,
! [X0] :
( ~ p18(X0,f6(c25))
| p8(X0,f9(f13(f14(X0),f15(X0)),f16(X0)))
| p18(X0,f6(c19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_33) ).
fof(f34,negated_conjecture,
! [X0] :
( ~ p18(X0,f6(c19))
| p8(X0,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X0,f6(f7(c22,c23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_34) ).
tcf(c_87,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_88,negated_conjecture,
! [X0: $i] : p17(X0,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_89,negated_conjecture,
p18(c24,f6(c25)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_90,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
inference(cnf_transformation,[],[f8]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i] :
( p17(X0,X1)
| ~ p17(f3(X0),X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] :
( p18(X0,f6(c19))
| p2(f14(X0),c20)
| ~ p18(X0,f6(c25)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_109,negated_conjecture,
! [X0: $i] :
( p18(X0,f6(c19))
| p17(f3(c21),f15(X0))
| ~ p18(X0,f6(c25)) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p17(c21,X1)
| ~ p2(X0,c20)
| ~ p8(c24,f9(f13(X0,X1),X2)) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_115,negated_conjecture,
! [X0: $i] :
( p18(X0,f6(c19))
| p8(X0,f9(f13(f14(X0),f15(X0)),f16(X0)))
| ~ p18(X0,f6(c25)) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_116,negated_conjecture,
! [X0: $i] :
( p18(X0,f6(f7(c22,c23)))
| p8(X0,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| ~ p18(X0,f6(c19)) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_438,definition,
iPr_def_10 = f6(c19),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_439,definition,
iPr_def_11 = f13(c20,c21),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_440,definition,
iPr_def_12 = f7(c22,c23),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_441,definition,
iPr_def_13 = f12(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_442,definition,
iPr_def_14 = f11(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_443,definition,
iPr_def_15 = f9(iPr_def_11,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_444,definition,
iPr_def_16 = f6(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_445,definition,
iPr_def_17 = f6(c25),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_446,definition,
iPr_def_18 = f3(c21),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_448,negated_conjecture,
! [X0: $i] :
( p18(X0,iPr_def_16)
| p8(X0,iPr_def_15)
| ~ p18(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_116,c_444,c_440,c_441,c_442,c_439,c_443,c_438]) ).
tcf(c_449,negated_conjecture,
! [X0: $i] :
( p18(X0,iPr_def_10)
| p8(X0,f9(f13(f14(X0),f15(X0)),f16(X0)))
| ~ p18(X0,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_115,c_445]) ).
tcf(c_450,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p17(c21,X1)
| ~ p2(X0,c20)
| ~ p8(c24,f9(f13(X0,X1),X2)) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_454,negated_conjecture,
! [X0: $i] :
( p18(X0,iPr_def_10)
| p17(iPr_def_18,f15(X0))
| ~ p18(X0,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_109,c_446]) ).
tcf(c_456,negated_conjecture,
! [X0: $i] :
( p18(X0,iPr_def_10)
| p2(f14(X0),c20)
| ~ p18(X0,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_471,negated_conjecture,
! [X0: $i,X1: $i] :
( p17(X0,X1)
| ~ p17(f3(X0),X1) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_472,negated_conjecture,
~ p18(c24,iPr_def_16),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_473,negated_conjecture,
p18(c24,iPr_def_17),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_474,negated_conjecture,
! [X0: $i] : p17(X0,X0),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_475,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_1052,plain,
! [X0: $i] :
( p17(c21,X0)
| ~ p17(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_446,c_471]) ).
tcf(c_1405,plain,
! [X0: $i] :
( ~ p17(c21,c21)
| ~ p2(c20,c20)
| ~ p8(c24,f9(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_439,c_450]) ).
tcf(c_1406,plain,
! [X0: $i] : ~ p8(c24,f9(iPr_def_11,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_1405,c_474,c_475]) ).
tcf(c_1411,plain,
~ p8(c24,iPr_def_15),
inference(superposition,[status(thm)],[c_443,c_1406]) ).
tcf(c_1420,plain,
( p18(c24,iPr_def_10)
| ~ p18(c24,iPr_def_17)
| ~ p17(c21,f15(c24))
| ~ p2(f14(c24),c20) ),
inference(superposition,[status(thm)],[c_449,c_450]) ).
tcf(c_1421,plain,
( p18(c24,iPr_def_10)
| ~ p17(c21,f15(c24))
| ~ p2(f14(c24),c20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1420,c_473]) ).
tcf(c_1437,plain,
( p18(c24,iPr_def_10)
| p2(f14(c24),c20)
| ~ p18(c24,iPr_def_17) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1443,plain,
! [X0: $i] :
( p18(X0,iPr_def_10)
| p17(c21,f15(X0))
| ~ p18(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_454,c_1052]) ).
tcf(c_1553,plain,
( p18(c24,iPr_def_16)
| p8(c24,iPr_def_15)
| ~ p18(c24,iPr_def_10) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_6086,plain,
~ p17(c21,f15(c24)),
inference(global_subsumption_just,[status(thm)],[c_1421,c_472,c_473,c_1411,c_1421,c_1437,c_1553]) ).
tcf(c_6088,plain,
( p18(c24,iPr_def_10)
| ~ p18(c24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_1443,c_6086]) ).
tcf(c_6089,plain,
p18(c24,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_6088,c_473]) ).
tcf(c_6090,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6089,c_1553,c_1411,c_472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 01:54:05 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 0.18/0.96 % SZS status Started for theBenchmark.p
% 0.18/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.96
% 0.18/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.18/0.96
% 0.18/0.96 % ------ iProver source info
% 0.18/0.96
% 0.18/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 0.18/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.18/0.96 % git: non_committed_changes: false
% 0.18/0.96
% 0.18/0.96 % ------ Parsing...% successful
% 0.18/0.96
% 0.18/0.96
% 0.18/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.18/0.96
% 0.18/0.96 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.18/0.96
% 0.18/0.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.18/0.96
% 0.18/0.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.18/0.96 % ------ Proving...
% 0.18/0.96 % ------ Problem Properties
% 0.18/0.96
% 0.18/0.96 %
% 0.18/0.96 % clauses 42
% 0.18/0.96 % conjectures 33
% 0.18/0.96 % EPR 16
% 0.18/0.96 % Horn 38
% 0.18/0.96 % unary 17
% 0.18/0.96 % binary 10
% 0.18/0.96 % lits 84
% 0.18/0.96 % lits eq 9
% 0.18/0.96 % fd_pure 0
% 0.18/0.96 % fd_pseudo 0
% 0.18/0.96 % fd_cond 0
% 0.18/0.96 % fd_pseudo_cond 0
% 0.18/0.96 % AC symbols 0
% 0.18/0.96
% 0.18/0.96 % ------ Schedule dynamic 5 is on
% 0.18/0.96
% 0.18/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.18/0.96
% 0.18/0.96
% 0.18/0.96 % ------
% 0.18/0.96 % Current options:
% 0.18/0.96 % ------
% 0.18/0.96
% 0.18/0.96
% 0.18/0.96 %
% 0.18/0.96
% 0.18/0.96 % ------ Proving...
% 0.18/0.96 %
% 0.18/0.96
% 0.18/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.96
% 0.18/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.18/0.96
% 0.18/0.96
%------------------------------------------------------------------------------