%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN584-1 : 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 : n007.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 2.81s 1.29s
% Output : CNFRefutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 36 ( 27 unt; 9 def)
% Number of atoms : 83 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_9) ).
fof(f15,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p12(X2,X0)
| ~ p3(X3,X1)
| ~ p15(X2,X3)
| p15(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_15) ).
fof(f21,negated_conjecture,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_21) ).
fof(f23,negated_conjecture,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_23) ).
fof(f25,negated_conjecture,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_25) ).
tcf(c_74,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p12(X1,X2)
| ~ p12(X0,X2)
| ~ p12(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p15(X1,X3)
| ~ p15(X0,X2)
| ~ p3(X2,X3)
| ~ p12(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_94,negated_conjecture,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(cnf_transformation,[],[f21]) ).
tcf(c_96,negated_conjecture,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
inference(cnf_transformation,[],[f23]) ).
tcf(c_98,negated_conjecture,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(cnf_transformation,[],[f25]) ).
tcf(c_323,definition,
iPr_def_10 = f11(c20),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_324,definition,
iPr_def_11 = f10(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_325,definition,
iPr_def_12 = f9(c19,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_326,definition,
iPr_def_13 = f9(c21,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_327,definition,
iPr_def_14 = f8(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_328,definition,
iPr_def_15 = f7(c18,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_329,definition,
iPr_def_16 = f14(iPr_def_15,c17),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_330,definition,
iPr_def_17 = f13(c17,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_331,definition,
iPr_def_18 = f4(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_332,negated_conjecture,
~ p15(iPr_def_17,iPr_def_18),
inference(demodulation,[status(thm)],[c_98,c_331,c_326,c_323,c_324,c_325,c_327,c_328,c_329,c_330]) ).
tcf(c_333,negated_conjecture,
p12(iPr_def_17,c22),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_335,negated_conjecture,
p15(c22,iPr_def_18),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_341,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p15(X1,X3)
| ~ p15(X0,X2)
| ~ p3(X2,X3)
| ~ p12(X0,X1) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_346,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p12(X1,X2)
| ~ p12(X0,X2)
| ~ p12(X0,X1) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_351,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_354,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_893,plain,
! [X0: $i] :
( p12(c22,X0)
| ~ p12(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_333,c_346]) ).
tcf(c_901,plain,
p12(c22,iPr_def_17),
inference(superposition,[status(thm)],[c_354,c_893]) ).
tcf(c_1060,plain,
! [X0: $i,X1: $i] :
( p15(iPr_def_17,X1)
| ~ p15(c22,X0)
| ~ p3(X0,X1) ),
inference(superposition,[status(thm)],[c_901,c_341]) ).
tcf(c_1190,plain,
! [X0: $i] :
( p15(iPr_def_17,X0)
| ~ p15(c22,X0) ),
inference(superposition,[status(thm)],[c_351,c_1060]) ).
tcf(c_1217,plain,
p15(iPr_def_17,iPr_def_18),
inference(superposition,[status(thm)],[c_335,c_1190]) ).
tcf(c_1218,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1217,c_332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.37 % Computer : n007.cluster.edu
% 0.07/0.37 % Model : x86_64 x86_64
% 0.07/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.37 % Memory : 8046.5625MB
% 0.07/0.37 % OS : Linux 6.8.0-71-generic
% 0.07/0.37 % CPULimit : 300
% 0.07/0.37 % WCLimit : 300
% 0.07/0.37 % DateTime : Fri Sep 25 01:45:23 UTC 2026
% 0.07/0.37 % CPUTime :
% 0.07/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.41 Running first-order theorem proving
% 0.07/0.41 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
% 0.07/0.42
% 0.07/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.42
% 0.07/0.42 % Detected problem language: tptp
% 0.07/0.43 % Proving...
% 2.81/1.29 % SZS status Started for theBenchmark.p
% 2.81/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.81/1.29
% 2.81/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.81/1.29
% 2.81/1.29 % ------ iProver source info
% 2.81/1.29
% 2.81/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.81/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.81/1.29 % git: non_committed_changes: false
% 2.81/1.29
% 2.81/1.29 % ------ Parsing...% successful
% 2.81/1.29
% 2.81/1.29
% 2.81/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.81/1.29
% 2.81/1.29 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.81/1.29
% 2.81/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.81/1.29
% 2.81/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.81/1.29 % ------ Proving...
% 2.81/1.29 % ------ Problem Properties
% 2.81/1.29
% 2.81/1.29 %
% 2.81/1.29 % clauses 32
% 2.81/1.29 % conjectures 23
% 2.81/1.29 % EPR 15
% 2.81/1.29 % Horn 32
% 2.81/1.29 % unary 18
% 2.81/1.29 % binary 3
% 2.81/1.29 % lits 58
% 2.81/1.29 % lits eq 9
% 2.81/1.29 % fd_pure 0
% 2.81/1.29 % fd_pseudo 0
% 2.81/1.29 % fd_cond 0
% 2.81/1.29 % fd_pseudo_cond 0
% 2.81/1.29 % AC symbols 0
% 2.81/1.29
% 2.81/1.29 % ------ Schedule dynamic 5 is on
% 2.81/1.29
% 2.81/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.81/1.29
% 2.81/1.29
% 2.81/1.29 % ------
% 2.81/1.29 % Current options:
% 2.81/1.29 % ------
% 2.81/1.29
% 2.81/1.29
% 2.81/1.29 %
% 2.81/1.29
% 2.81/1.29 % ------ Proving...
% 2.81/1.29 %
% 2.81/1.29
% 2.81/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.81/1.29
% 2.81/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.81/1.29
% 2.81/1.29
%------------------------------------------------------------------------------