%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN705-1 : 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 : n002.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 03:41:26 PM UTC 2026
% Result : Unsatisfiable 4.07s 1.30s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 41 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f20,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
fof(f51,negated_conjecture,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_51) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p4(X2,X0)
| ~ p7(X3,X1)
| ~ p47(X2,X3)
| p47(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_53) ).
fof(f58,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
fof(f74,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_74) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p47(f20(f22(f24(f26(c56,X0),X2),X3),X4),X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_75) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(X0,X3)
| p47(f5(c48,f13(f16(f18(c50,X0),X1),X2)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_76) ).
fof(f77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_77) ).
fof(f80,negated_conjecture,
! [X2,X3,X0,X1] : p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_80) ).
tcf(c_131,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_148,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f20]) ).
tcf(c_179,negated_conjecture,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
inference(cnf_transformation,[],[f51]) ).
tcf(c_181,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p47(X3,X1)
| ~ p47(X2,X0)
| ~ p4(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_186,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(X2,X0),f5(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_202,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p47(X0,X3)
| ~ p47(f5(c48,f13(f16(f18(c50,X0),X1),X2)),X3) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_203,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p47(X0,X4)
| ~ p47(f20(f22(f24(f26(c56,X0),X1),X2),X3),X4) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_204,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| ~ p47(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_205,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
inference(cnf_transformation,[],[f77]) ).
tcf(c_208,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
inference(cnf_transformation,[],[f80]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i] :
( p47(X0,X1)
| ~ p7(c55,X1)
| ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_943,plain,
! [X0: $i] :
( p47(X0,c55)
| ~ p7(c55,c55)
| ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0) ),
inference(instantiation,[status(thm)],[c_936]) ).
tcf(c_944,plain,
p7(c55,c55),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i] :
( p47(f5(c48,f13(f16(f18(c50,X0),X1),X2)),c55)
| ~ p7(c55,c55)
| ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,X0),X1),X2))) ),
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_957,plain,
! [X0: $i,X1: $i,X2: $i] :
( p47(X0,c55)
| ~ p47(f5(c48,f13(f16(f18(c50,X0),X1),X2)),c55) ),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p47(X0,c55)
| ~ p47(f20(f22(f24(f26(c56,X0),X1),X2),X3),c55) ),
inference(instantiation,[status(thm)],[c_203]) ).
tcf(c_989,plain,
! [X0: $i,X1: $i] :
( p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(X1,X0))
| ~ p2(c48,X1)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X0) ),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_1014,plain,
p2(c48,c48),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_1070,plain,
! [X0: $i] :
( p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,X0))
| ~ p2(c48,c48)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X0) ),
inference(instantiation,[status(thm)],[c_989]) ).
tcf(c_1244,plain,
( p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))))
| ~ p2(c48,c48)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))) ),
inference(instantiation,[status(thm)],[c_1070]) ).
tcf(c_1245,plain,
p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),
inference(instantiation,[status(thm)],[c_208]) ).
tcf(c_1309,plain,
( p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55)
| ~ p7(c55,c55)
| ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54)))) ),
inference(instantiation,[status(thm)],[c_956]) ).
tcf(c_1785,plain,
( p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55)
| ~ p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55) ),
inference(instantiation,[status(thm)],[c_957]) ).
tcf(c_2087,plain,
( p47(c51,c55)
| ~ p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55) ),
inference(instantiation,[status(thm)],[c_961]) ).
tcf(c_3727,plain,
~ p47(c51,c55),
inference(superposition,[status(thm)],[c_204,c_179]) ).
tcf(c_3729,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3727,c_2087,c_1785,c_1309,c_1245,c_1244,c_1014,c_944,c_205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN705-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 02:10:49 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 4.07/1.30 % SZS status Started for theBenchmark.p
% 4.07/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.30
% 4.07/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.07/1.30
% 4.07/1.30 % ------ iProver source info
% 4.07/1.30
% 4.07/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.07/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.07/1.30 % git: non_committed_changes: false
% 4.07/1.30
% 4.07/1.30 % ------ Parsing...% successful
% 4.07/1.30
% 4.07/1.30
% 4.07/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.07/1.30
% 4.07/1.30 % ------ Preprocessing... sf_s rm: 8 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.07/1.30
% 4.07/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.07/1.30 % ------ Proving...
% 4.07/1.30 % ------ Problem Properties
% 4.07/1.30
% 4.07/1.30 %
% 4.07/1.30 % clauses 72
% 4.07/1.30 % conjectures 72
% 4.07/1.30 % EPR 47
% 4.07/1.30 % Horn 72
% 4.07/1.30 % unary 27
% 4.07/1.30 % binary 3
% 4.07/1.30 % lits 160
% 4.07/1.30 % lits eq 0
% 4.07/1.30 % fd_pure 0
% 4.07/1.30 % fd_pseudo 0
% 4.07/1.30 % fd_cond 0
% 4.07/1.30 % fd_pseudo_cond 0
% 4.07/1.30 % AC symbols 0
% 4.07/1.30
% 4.07/1.30 % ------ Schedule dynamic 5 is on
% 4.07/1.30
% 4.07/1.30 % ------ no equalities: superposition off
% 4.07/1.30
% 4.07/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.07/1.30
% 4.07/1.30
% 4.07/1.30 % ------
% 4.07/1.30 % Current options:
% 4.07/1.30 % ------
% 4.07/1.30
% 4.07/1.30
% 4.07/1.30 %
% 4.07/1.30
% 4.07/1.30 % ------ Proving...
% 4.07/1.30 %
% 4.07/1.30
% 4.07/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.30
% 4.07/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.30
% 4.07/1.30
%------------------------------------------------------------------------------