%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC022_2 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 : Tue Sep 29 12:05:41 PM UTC 2026
% Result : Theorem 2.47s 1.22s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 51 ( 0 atm; 14 fun; 22 num; 15 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 13 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
celsius_fahrenheit_temperature_conversion: ( $real * $real ) > $o ).
tff(f1,axiom,
! [X1: $real,X0: $real] :
( ( $sum($product(9/5,X0),32/1) = X1 )
=> celsius_fahrenheit_temperature_conversion(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',celsius_fahrenheit_temperature_conversion) ).
tff(f2,conjecture,
? [X0: $real] : celsius_fahrenheit_temperature_conversion(37/1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',celsius_37_to_fahrenheit) ).
tff(f3,negated_conjecture,
~ ? [X0: $real] : celsius_fahrenheit_temperature_conversion(37/1,X0),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f21,plain,
! [X1: $real,X0: $real] :
( ( $sum($product(9/5,X1),32/1) = X0 )
=> celsius_fahrenheit_temperature_conversion(X1,X0) ),
inference(rectify,[],[f1]) ).
tff(f22,plain,
! [X0: $real] : ~ celsius_fahrenheit_temperature_conversion(37/1,X0),
inference(ennf_transformation,[],[f3]) ).
tff(f23,plain,
! [X1: $real,X0: $real] :
( celsius_fahrenheit_temperature_conversion(X1,X0)
| ( $sum($product(9/5,X1),32/1) != X0 ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f24,plain,
! [X0: $real,X1: $real] :
( celsius_fahrenheit_temperature_conversion(X0,X1)
| ( $sum($product(9/5,X0),32/1) != X1 ) ),
inference(rectify,[],[f23]) ).
tff(f25,plain,
! [X0: $real] : ~ celsius_fahrenheit_temperature_conversion(37/1,X0),
inference(cnf_transformation,[],[f22]) ).
tff(f26,plain,
! [X0: $real,X1: $real] :
( celsius_fahrenheit_temperature_conversion(X0,X1)
| ( $sum($product(9/5,X0),32/1) != X1 ) ),
inference(cnf_transformation,[],[f24]) ).
tff(f28,plain,
! [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,$sum($product(9/5,X0),32/1)),
inference(equality_resolution,[],[f26]) ).
tff(f107,plain,
celsius_fahrenheit_temperature_conversion(37/1,$sum($product(9/5,37/1),32/1)),
inference(instantiation,[],[f28]) ).
tff(f111,plain,
celsius_fahrenheit_temperature_conversion(37/1,493/5),
inference(evaluation,[],[f107]) ).
tff(f116,plain,
$false,
inference(forward_subsumption_resolution,[],[f111,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC022_2 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:43:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.47/1.22 % (3201229)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.47/1.22 % (3201237)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1954730520:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.47/1.22 % (3201237)First to succeed.
% 2.47/1.22 % (3201237)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3201229"
% 2.47/1.22 % (3201239)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3248278920:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.47/1.22 % (3201235)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3431998902:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.47/1.22 % (3201236)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4147442956:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.47/1.22 % (3201234)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3559007054:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.47/1.22 % (3201240)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=119422325:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.47/1.22 % (3201238)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2988483547:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.47/1.22 % (3201238)Instruction limit reached!
% 2.47/1.22 % (3201238)------------------------------
% 2.47/1.22 % (3201238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.22 % (3201238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.22 % (3201238)CaDiCaL version: 2.1.3
% 2.47/1.22 % (3201238)Termination reason: Instruction limit
% 2.47/1.22 % (3201238)Termination phase: Saturation
% 2.47/1.22 % (3201238)Time elapsed: 0.003 s
% 2.47/1.22 % (3201238)Peak memory usage: 88 MB
% 2.47/1.22 % (3201238)Instructions burned: 4 (million)
% 2.47/1.22 % (3201234)Refutation not found, incomplete strategy
% 2.47/1.22 % (3201234)------------------------------
% 2.47/1.22 % (3201234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.22 % (3201234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.22 % (3201234)CaDiCaL version: 2.1.3
% 2.47/1.22 % (3201234)Termination reason: Refutation not found, incomplete strategy
% 2.47/1.22 % (3201234)Time elapsed: 0.027 s
% 2.47/1.22 % (3201234)Peak memory usage: 111 MB
% 2.47/1.22 % (3201234)Instructions burned: 5 (million)
% 2.47/1.22 % (3201235)Also succeeded, but the first one will report.
% 2.47/1.22 % (3201239)Also succeeded, but the first one will report.
% 2.47/1.22 % (3201236)Also succeeded, but the first one will report.
% 2.47/1.22 % (3201240)Also succeeded, but the first one will report.
% 2.47/1.22 % (3201237)Refutation found. Thanks to Tanya!
% 2.47/1.22 % SZS status Theorem for theBenchmark
% 2.47/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/1.22 % (3201237)------------------------------
% 2.47/1.22 % (3201237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.22 % (3201237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.22 % (3201237)CaDiCaL version: 2.1.3
% 2.47/1.22 % (3201237)Termination reason: Refutation
% 2.47/1.22 % (3201237)Time elapsed: 0.002 s
% 2.47/1.22 % (3201237)Peak memory usage: 89 MB
% 2.47/1.22 % (3201237)Instructions burned: 4 (million)
% 2.47/1.22 % (3201237)------------------------------
% 2.47/1.22 % (3201237)------------------------------
% 2.47/1.22 % (3201229)Success in time 0.276 s
% 2.47/1.22 % Vampire exiting
%------------------------------------------------------------------------------