%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR072-10 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:01:46 AM UTC 2025
% Result : Unsatisfiable 1.97s 2.12s
% Output : Proof 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 1 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 30 ( 27 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_type,type,
b: $i ).
tff(a_type,type,
a: $i ).
tff(ifeq3_type,type,
ifeq3: ( $i * $i * $i * $i ) > $i ).
tff(true_type,type,
true: $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $i ).
tff(c_tptpcol_15_130923_type,type,
c_tptpcol_15_130923: $i ).
tff(c_tptpcol_16_130924_type,type,
c_tptpcol_16_130924: $i ).
tff(1,plain,
( ( ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = b )
<=> ( ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = b ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query172_1) ).
tff(3,plain,
ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = b,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ( genls(c_tptpcol_16_130924,c_tptpcol_15_130923) = true )
<=> ( genls(c_tptpcol_16_130924,c_tptpcol_15_130923) = true ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
genls(c_tptpcol_16_130924,c_tptpcol_15_130923) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4304) ).
tff(6,plain,
genls(c_tptpcol_16_130924,c_tptpcol_15_130923) = true,
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
true = genls(c_tptpcol_16_130924,c_tptpcol_15_130923),
inference(symmetry,[status(thm)],[6]) ).
tff(8,plain,
ifeq3(true,true,a,b) = ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( ifeq3(A,A,B,C) = B )
<=> ( ifeq3(A,A,B,C) = B ) )),
inference(bind,[status(th)],[]) ).
tff(10,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ) ),
inference(quant_intro,[status(thm)],[9]) ).
tff(11,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
tff(13,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[13]) ).
tff(15,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[14,10]) ).
tff(16,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(true,true,a,b) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(17,plain,
ifeq3(true,true,a,b) = a,
inference(unit_resolution,[status(thm)],[16,15]) ).
tff(18,plain,
a = ifeq3(true,true,a,b),
inference(symmetry,[status(thm)],[17]) ).
tff(19,plain,
a = b,
inference(transitivity,[status(thm)],[18,8,3]) ).
tff(20,plain,
( ( a != b )
<=> ( a != b ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(22,plain,
a != b,
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
$false,
inference(unit_resolution,[status(thm)],[22,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR072-10 : TPTP v9.0.0. Released v7.3.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 12:52:05 EDT 2025
% 0.12/0.34 % CPUTime :
% 1.97/2.12 % SZS status Unsatisfiable
% 1.97/2.12 % SZS output start Proof
% See solution above
% 1.97/2.13 % E exiting
%------------------------------------------------------------------------------