%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN719-1 : 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 : n004.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 03:41:28 PM UTC 2026
% Result : Unsatisfiable 3.86s 11.33s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 46 ( 29 unt; 8 def)
% Number of atoms : 125 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 81 ( 42 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f38,negated_conjecture,
! [X0] : p14(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_38) ).
fof(f41,negated_conjecture,
p66(f12(c78,c77),c79),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p66_41) ).
fof(f42,negated_conjecture,
p67(f16(c80,c81),c82),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p67_42) ).
fof(f43,negated_conjecture,
! [X0,X1] : p70(f30(c88,X0),f38(c85,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p70_43) ).
fof(f45,negated_conjecture,
! [X0] : p14(f23(f26(c84,c85),X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_45) ).
fof(f46,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p68_46) ).
fof(f52,negated_conjecture,
! [X0,X1] :
( ~ p70(X1,X0)
| p69(f36(c86,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p69_52) ).
fof(f90,negated_conjecture,
! [X2,X0,X1] :
( ~ p14(X2,X1)
| ~ p14(X2,X0)
| p14(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_90) ).
fof(f126,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p69(f36(c86,f38(X3,f40(f42(f44(f46(c87,X0),X1),X3),X2))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(X1,f23(f26(c84,X3),X2))
| ~ p66(f12(c78,c77),X0)
| ~ p67(f16(c80,X2),c82)
| p68(f19(f21(c83,c77),X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p68_126) ).
tcf(c_212,negated_conjecture,
! [X0: $i] : p14(X0,X0),
inference(cnf_transformation,[],[f38]) ).
tcf(c_215,negated_conjecture,
p66(f12(c78,c77),c79),
inference(cnf_transformation,[],[f41]) ).
tcf(c_216,negated_conjecture,
p67(f16(c80,c81),c82),
inference(cnf_transformation,[],[f42]) ).
tcf(c_217,negated_conjecture,
! [X0: $i,X1: $i] : p70(f30(c88,X0),f38(c85,X1)),
inference(cnf_transformation,[],[f43]) ).
tcf(c_219,negated_conjecture,
! [X0: $i] : p14(f23(f26(c84,c85),X0),X0),
inference(cnf_transformation,[],[f45]) ).
tcf(c_220,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
inference(cnf_transformation,[],[f46]) ).
tcf(c_226,negated_conjecture,
! [X0: $i,X1: $i] :
( p69(f36(c86,X1),X0)
| ~ p70(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_264,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p14(X1,X2)
| ~ p14(X0,X2)
| ~ p14(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_300,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,X3),c82)
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,X0),X3))
| ~ p69(f36(c86,f38(X0,f40(f42(f44(f46(c87,X1),X2),X0),X3))),f30(c88,f32(c89,f8(c75,c76)))) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_1388,definition,
iPr_def_10 = f8(c75,c76),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1389,definition,
iPr_def_11 = f32(c89,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1390,definition,
iPr_def_12 = f30(c88,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1391,definition,
iPr_def_13 = f12(c78,c77),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1392,definition,
iPr_def_14 = f21(c83,c77),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1393,definition,
iPr_def_15 = f19(iPr_def_14,c79),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1394,definition,
iPr_def_16 = f26(c84,c85),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1395,definition,
iPr_def_17 = f16(c80,c81),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_1396,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p68(f19(iPr_def_14,X1),X2)
| ~ p66(iPr_def_13,X1)
| ~ p67(f16(c80,X3),c82)
| ~ p14(X2,f23(f26(c84,X0),X3))
| ~ p69(f36(c86,f38(X0,f40(f42(f44(f46(c87,X1),X2),X0),X3))),iPr_def_12) ),
inference(demodulation,[status(thm)],[c_300,c_1392,c_1391,c_1388,c_1389,c_1390]) ).
tcf(c_1422,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p14(X1,X2)
| ~ p14(X0,X2)
| ~ p14(X0,X1) ),
inference(demodulation,[status(thm)],[c_264]) ).
tcf(c_1451,negated_conjecture,
! [X0: $i,X1: $i] :
( p69(f36(c86,X1),X0)
| ~ p70(X0,X1) ),
inference(demodulation,[status(thm)],[c_226]) ).
tcf(c_1455,negated_conjecture,
~ p68(iPr_def_15,c81),
inference(demodulation,[status(thm)],[c_220,c_1393]) ).
tcf(c_1456,negated_conjecture,
! [X0: $i] : p14(f23(iPr_def_16,X0),X0),
inference(demodulation,[status(thm)],[c_219,c_1394]) ).
tcf(c_1457,negated_conjecture,
! [X0: $i,X1: $i] : p70(f30(c88,X0),f38(c85,X1)),
inference(demodulation,[status(thm)],[c_217]) ).
tcf(c_1458,negated_conjecture,
p67(iPr_def_17,c82),
inference(demodulation,[status(thm)],[c_216,c_1395]) ).
tcf(c_1459,negated_conjecture,
p66(iPr_def_13,c79),
inference(demodulation,[status(thm)],[c_215]) ).
tcf(c_1462,negated_conjecture,
! [X0: $i] : p14(X0,X0),
inference(demodulation,[status(thm)],[c_212]) ).
tcf(c_2968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p68(f19(iPr_def_14,X1),X2)
| ~ p66(iPr_def_13,X1)
| ~ p67(f16(c80,X3),c82)
| ~ p14(X2,f23(f26(c84,X0),X3))
| ~ p70(iPr_def_12,f38(X0,f40(f42(f44(f46(c87,X1),X2),X0),X3))) ),
inference(superposition,[status(thm)],[c_1451,c_1396]) ).
tcf(c_3006,plain,
! [X0: $i] : p70(iPr_def_12,f38(c85,X0)),
inference(superposition,[status(thm)],[c_1390,c_1457]) ).
tcf(c_3008,plain,
! [X0: $i,X1: $i,X2: $i] :
( p68(f19(iPr_def_14,X2),X0)
| ~ p66(iPr_def_13,X2)
| ~ p67(f16(c80,X1),c82)
| ~ p14(X0,f23(f26(c84,c85),X1)) ),
inference(superposition,[status(thm)],[c_3006,c_2968]) ).
tcf(c_3009,plain,
! [X0: $i,X1: $i,X2: $i] :
( p68(f19(iPr_def_14,X2),X0)
| ~ p66(iPr_def_13,X2)
| ~ p67(f16(c80,X1),c82)
| ~ p14(X0,f23(iPr_def_16,X1)) ),
inference(light_normalisation,[status(thm)],[c_3008,c_1394]) ).
tcf(c_3029,plain,
! [X0: $i,X1: $i] :
( p14(X0,X1)
| ~ p14(f23(iPr_def_16,X0),X1) ),
inference(superposition,[status(thm)],[c_1456,c_1422]) ).
tcf(c_3089,plain,
! [X0: $i,X1: $i] :
( p68(f19(iPr_def_14,X1),X0)
| ~ p67(iPr_def_17,c82)
| ~ p66(iPr_def_13,X1)
| ~ p14(X0,f23(iPr_def_16,c81)) ),
inference(superposition,[status(thm)],[c_1395,c_3009]) ).
tcf(c_3095,plain,
! [X0: $i,X1: $i] :
( p68(f19(iPr_def_14,X1),X0)
| ~ p66(iPr_def_13,X1)
| ~ p14(X0,f23(iPr_def_16,c81)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3089,c_1458]) ).
tcf(c_3137,plain,
! [X0: $i] : p14(X0,f23(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_1462,c_3029]) ).
tcf(c_3371,plain,
! [X0: $i] :
( p68(f19(iPr_def_14,X0),c81)
| ~ p66(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_3137,c_3095]) ).
tcf(c_3478,plain,
( p68(iPr_def_15,c81)
| ~ p66(iPr_def_13,c79) ),
inference(superposition,[status(thm)],[c_1393,c_3371]) ).
tcf(c_3480,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3478,c_1455,c_1459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.40 % Computer : n004.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.15/10.40 % WCLimit : 300
% 0.15/10.40 % DateTime : Fri Sep 25 02:10:48 UTC 2026
% 0.15/10.40 % CPUTime :
% 0.15/10.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.44 Running first-order theorem proving
% 0.15/10.44 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
% 0.15/10.45
% 0.15/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.45
% 0.15/10.45 % Detected problem language: tptp
% 0.15/10.47 % Proving...
% 3.86/11.33 % SZS status Started for theBenchmark.p
% 3.86/11.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.86/11.33
% 3.86/11.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.86/11.33
% 3.86/11.33 % ------ iProver source info
% 3.86/11.33
% 3.86/11.33 % git: date: 2026-07-19 20:42:38 +0200
% 3.86/11.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.86/11.33 % git: non_committed_changes: false
% 3.86/11.33
% 3.86/11.33 % ------ Parsing...% successful
% 3.86/11.33
% 3.86/11.33
% 3.86/11.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.86/11.33
% 3.86/11.33 % ------ Preprocessing... sf_s rm: 31 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.86/11.33
% 3.86/11.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.86/11.33
% 3.86/11.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.86/11.33 % ------ Proving...
% 3.86/11.33 % ------ Problem Properties
% 3.86/11.33
% 3.86/11.33 %
% 3.86/11.33 % clauses 103
% 3.86/11.33 % conjectures 95
% 3.86/11.33 % EPR 70
% 3.86/11.33 % Horn 103
% 3.86/11.33 % unary 44
% 3.86/11.33 % binary 4
% 3.86/11.33 % lits 224
% 3.86/11.33 % lits eq 8
% 3.86/11.33 % fd_pure 0
% 3.86/11.33 % fd_pseudo 0
% 3.86/11.33 % fd_cond 0
% 3.86/11.33 % fd_pseudo_cond 0
% 3.86/11.33 % AC symbols 0
% 3.86/11.33
% 3.86/11.33 % ------ Schedule dynamic 5 is on
% 3.86/11.33
% 3.86/11.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.86/11.33
% 3.86/11.33
% 3.86/11.33 % ------
% 3.86/11.33 % Current options:
% 3.86/11.33 % ------
% 3.86/11.33
% 3.86/11.33
% 3.86/11.33 %
% 3.86/11.33
% 3.86/11.33 % ------ Proving...
% 3.86/11.33 %
% 3.86/11.33
% 3.86/11.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.86/11.33
% 3.86/11.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/11.34
% 3.86/11.34
%------------------------------------------------------------------------------